Berikut ini adalah pertanyaan dari leocallister pada mata pelajaran Matematika untuk jenjang Sekolah Menengah Atas
a. 4
b. 16
c. 64
d. 128
Note : Kerjakan dengan benar menggunakan cara
Jawaban dan Penjelasan
Berikut ini adalah pilihan jawaban terbaik dari pertanyaan diatas.
17² - 15²
= 289 - 225
=> 64(Opsi C)
Eksponen adalah Suatu hasil dari perkalian yg diulang ulang
Dimana,
a = basis
b = pangkat
Eksponen Menyederhanakan:
12² × 12²
= 12^(²+²)
= 12^4
= 12 × 12 × 12 × 12
= 144 × 144
=> 20.736
Contoh Eksponen(Pangkat):
Pangkat 1:
1¹ = 1
2¹ = 2
3¹ = 3
4¹ = 4
5¹ = 5
6¹ = 6
7¹ = 7
8¹ = 8
9¹ = 9
10¹ = 10
11¹ = 11
12¹ = 12
13¹ = 13
14¹ = 14
15¹ = 15
Pangkat 2:
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
6² = 36
7² = 49
8² = 64
9² = 81
10² = 100
11² =121
12² = 144
13² = 169
14² = 196
15² = 225
Pangkat 3:
1³ = 1
2³ = 8
3³ = 27
4³ =64
5³ = 125
6³ =216
7³ = 343
8³ = 512
9³ = 729
10³ = 1.000
11³ = 1.331
12³ = 1.728
13³ = 2.197
14³ = 2.744
15³ = 3.375
Pangkat 4:
1⁴ = 1
2⁴ = 16
3⁴ = 81
4⁴ = 256
5⁴ = 625
6⁴ = 1.296
7⁴ = 2.401
8⁴ = 4.096
9⁴ = 6.561
10⁴ = 10.000
11⁴ = 14.641
12⁴ = 20.736
13⁴ = 28.561
14⁴ = 38.416
15⁴ = 50.625
Pangkat 5:
1⁵ = 1
2⁵ = 32
3⁵ = 243
4⁵ = 1.024
5⁵ = 3.125
6⁵ = 7.776
7⁵ = 16.807
8⁵ = 32.768
9⁵ = 59.049
10⁵ = 100.000
11⁵ = 161.051
12⁵ = 248.832
13⁵ = 371.293
14⁵ = 537.824
15⁵ = 759.375
Cara Menghitung bilangan berpangkat:
Pangkat 1:
Pangkat 2:
Pangkat 3:
. Cara Menghitung Bilangan Pangkat 2:
1² = 1 × 1 = 2
2² = 2 × 2 = 4
3² = 3 × 3 = 9
4² = 4 × 4 = 16
5² = 5 × 5 = 25
6² = 6 × 6 = 36
7² = 7 × 7 = 49
8² = 8 × 8 = 64
9² = 9 × 9 = 81
10² = 10 × 10 = 100
11² = 11 × 11 = 121
12² = 12 × 12 = 144
13² = 13 × 13 = 168
14² = 14 × 14 = 196
15² = 15 × 15 = 225
. Cara Menghitung bilangan pangkat 3:
1³ = 1 × 1 × 1 = 1
2³ = 2 × 2 × 2 = 8
3³ = 3 × 3 × 3 = 27
4³ = 4 × 4 × 4 = 64
5³ = 5 × 5 × 5 = 125
6³ = 6 × 6 × 6 = 216
7³ = 7 × 7 × 7 = 343
8³ = 8 × 8 × 8 = 512
9³ = 9 × 9 × 9 = 729
10³ = 10 × 10 × 10 = 1.000
11³ = 11 × 11 × 11 = 1.331
12³ = 12 × 12 × 12 = 1.728
13³ = 13 × 13 × 13 = 2.197
14³ = 14 × 14 × 14 = 2.744
15³ = 15 × 15 × 15 = 3.375
. Cara Menghitung bilangan pangkat 4:
1⁴ = 1 × 1 × 1 × 1 =1
2⁴ = 2 × 2 × 2 × 2 = 16
3⁴ = 3 × 3 × 3 × 3 = 81
4⁴ = 4 × 4 × 4 × 4 = 256
5⁴ = 5 × 5 × 5 × 5 = 625
6⁴ = 6 × 6 × 6 × 6 = 1.296
7⁴ = 7 × 7 × 7 × 7 = 2.401
8⁴ = 8 × 8 × 8 × 8 = 4.096
9⁴ = 9 × 9 × 9 × 9 = 6.561
10⁴ = 10 × 10 × 10 × 10 = 10.000
11⁴ = 11 × 11 × 11 × 11 = 14.641
12⁴ = 12 × 12 × 12 × 12 = 20.736
13⁴ = 13 × 13 × 13 × 13 = 28.561
14⁴ = 14 × 14 × 14 × 14 = 38.416
15⁴ = 15 × 15 × 15 × 15 = 50.625
. Cara menghitung bilangan Pangkat 5:
1⁵ = 1 × 1 × 1 × 1 × 1 = 1
2⁵ = 2 × 2 × 2 × 2 × 2 = 32
3⁵ = 3 × 3 × 3 × 3 × 3 = 243
4⁵ = 4 × 4 × 4 × 4 × 4 = 1.024
5⁵ = 5 × 5 × 5 × 5 × 5 = 3.125
6⁵ = 6 × 6 × 6 × 6 × 6 = 7.776
7⁵ = 7 × 7 × 7 × 7 × 7 = 16.807
8⁵ = 8 × 8 × 8 × 8 × 8 = 32.768
9⁵ = 9 × 9 × 9 × 9 × 9 = 59.049
10⁵ = 10 × 10 × 10 × 10 × 10 = 100.000
11⁵ = 11 × 11 × 11 × 11 × 11 = 161.051
12⁵ = 12 × 12 × 12 × 12 × 12 = 248.832
13⁵ = 13 × 13 × 13 × 13 × 13 = 371.293
14⁵ = 14 × 14 × 14 × 14 × 14 = 537.824
15⁵ = 15 × 15 × 15 × 15 × 15
|| Kelas: 9
|| Tingkat: SMP
|| Materi: Eksponen
|| Matpel: Matematika
|| Kode soal: 2
|| Kode kategorisasi: 9.2.1
![17² - 15²= 289 - 225=> 64(Opsi C)[tex]\tt\huge\color{violet}{\underbrace{\color{plum}{↓ \: }{\color{lavender}{P}{\color{plum}{e}{\color{lavender}{n}{\color{plum}{d}{\color{lavender}{a}{\color{plum}{h}{\color{lavender}{u}{\color{plum}{l}{\color{lavender}{u}{\color{plum}{a}{\color{lavender}{n}{\color{plum}{ \: ↓}}}}}}}}}}}}}}}[/tex]Eksponen adalah Suatu hasil dari perkalian yg diulang ulang[tex]\colorbox{pink}{Bentuk Umum Eksponen}[/tex][tex]\tt {a}^{b} = a \times a \times a \times a \times a \times a = ...[/tex]Dimana,a = basisb = pangkat[tex]\: \: \: \tt \huge \orange{Sifat \: Sifat \: Eksponen}[/tex][tex]\sf {a}^{b} \times {a}^{c} = {a}^{(b+c)}[/tex][tex]\sf {a}^{b} \div {a}^{c} = {a}^{(b-c)}[/tex][tex]\sf {(a}^{b}{)}^{c} = {a}^{(b \times c)}[/tex][tex]\sf {a}^{0} = 1[/tex][tex]\sf ({a}^{m} \times {a}^{n}{)}^{b} = {a}^{mb} \times {a}^{nb}[/tex][tex]\sf {a}^{m} \times {c}^{m} = (a \times b{)}^{m}[/tex][tex] {a}^{-m} = \frac{ 1 }{ {a}^{m} }[/tex][tex] \: \: \: \tt Contoh \: Eksponen:[/tex]Eksponen Menyederhanakan:12² × 12²= 12^(²+²)= 12^4= 12 × 12 × 12 × 12= 144 × 144=> 20.736Contoh Eksponen(Pangkat):[tex] \: \: \:[/tex] Pangkat 1:1¹ = 12¹ = 23¹ = 34¹ = 45¹ = 56¹ = 67¹ = 78¹ = 8 9¹ = 9 10¹ = 1011¹ = 1112¹ = 1213¹ = 1314¹ = 1415¹ = 15[tex] \: \: \:[/tex] Pangkat 2:1² = 12² = 43² = 94² = 165² = 256² = 367² = 498² = 649² = 8110² = 10011² =12112² = 14413² = 16914² = 19615² = 225[tex] \: \: \:[/tex] Pangkat 3:1³ = 12³ = 83³ = 274³ =645³ = 1256³ =2167³ = 3438³ = 512 9³ = 72910³ = 1.00011³ = 1.33112³ = 1.72813³ = 2.19714³ = 2.74415³ = 3.375[tex] \: \: \:[/tex] Pangkat 4:1⁴ = 12⁴ = 163⁴ = 814⁴ = 2565⁴ = 6256⁴ = 1.2967⁴ = 2.4018⁴ = 4.0969⁴ = 6.56110⁴ = 10.00011⁴ = 14.64112⁴ = 20.73613⁴ = 28.56114⁴ = 38.41615⁴ = 50.625[tex] \: \: \:[/tex] Pangkat 5:1⁵ = 12⁵ = 323⁵ = 2434⁵ = 1.0245⁵ = 3.1256⁵ = 7.7767⁵ = 16.8078⁵ = 32.7689⁵ = 59.04910⁵ = 100.00011⁵ = 161.05112⁵ = 248.83213⁵ = 371.29314⁵ = 537.82415⁵ = 759.375[tex] \: \: \:[/tex]Cara Menghitung bilangan berpangkat:Pangkat 1:[tex] {a}^{b} = a[/tex]Pangkat 2:[tex] {a}^{c} = a \times a[/tex]Pangkat 3:[tex] {m}^{n} = m \times m \times m[/tex]. [tex] \: \: \: \:[/tex]Cara Menghitung Bilangan Pangkat 2:1² = 1 × 1 = 22² = 2 × 2 = 43² = 3 × 3 = 94² = 4 × 4 = 165² = 5 × 5 = 256² = 6 × 6 = 367² = 7 × 7 = 498² = 8 × 8 = 649² = 9 × 9 = 8110² = 10 × 10 = 10011² = 11 × 11 = 12112² = 12 × 12 = 14413² = 13 × 13 = 16814² = 14 × 14 = 19615² = 15 × 15 = 225.[tex] \: \: \: \:[/tex] Cara Menghitung bilangan pangkat 3:1³ = 1 × 1 × 1 = 12³ = 2 × 2 × 2 = 83³ = 3 × 3 × 3 = 274³ = 4 × 4 × 4 = 645³ = 5 × 5 × 5 = 1256³ = 6 × 6 × 6 = 2167³ = 7 × 7 × 7 = 3438³ = 8 × 8 × 8 = 5129³ = 9 × 9 × 9 = 72910³ = 10 × 10 × 10 = 1.00011³ = 11 × 11 × 11 = 1.33112³ = 12 × 12 × 12 = 1.72813³ = 13 × 13 × 13 = 2.19714³ = 14 × 14 × 14 = 2.74415³ = 15 × 15 × 15 = 3.375. [tex] \: \: \:[/tex] Cara Menghitung bilangan pangkat 4:1⁴ = 1 × 1 × 1 × 1 =12⁴ = 2 × 2 × 2 × 2 = 163⁴ = 3 × 3 × 3 × 3 = 814⁴ = 4 × 4 × 4 × 4 = 2565⁴ = 5 × 5 × 5 × 5 = 6256⁴ = 6 × 6 × 6 × 6 = 1.2967⁴ = 7 × 7 × 7 × 7 = 2.4018⁴ = 8 × 8 × 8 × 8 = 4.0969⁴ = 9 × 9 × 9 × 9 = 6.56110⁴ = 10 × 10 × 10 × 10 = 10.00011⁴ = 11 × 11 × 11 × 11 = 14.64112⁴ = 12 × 12 × 12 × 12 = 20.73613⁴ = 13 × 13 × 13 × 13 = 28.56114⁴ = 14 × 14 × 14 × 14 = 38.41615⁴ = 15 × 15 × 15 × 15 = 50.625.[tex] \: \: \:[/tex] Cara menghitung bilangan Pangkat 5:1⁵ = 1 × 1 × 1 × 1 × 1 = 12⁵ = 2 × 2 × 2 × 2 × 2 = 323⁵ = 3 × 3 × 3 × 3 × 3 = 2434⁵ = 4 × 4 × 4 × 4 × 4 = 1.0245⁵ = 5 × 5 × 5 × 5 × 5 = 3.1256⁵ = 6 × 6 × 6 × 6 × 6 = 7.7767⁵ = 7 × 7 × 7 × 7 × 7 = 16.8078⁵ = 8 × 8 × 8 × 8 × 8 = 32.7689⁵ = 9 × 9 × 9 × 9 × 9 = 59.04910⁵ = 10 × 10 × 10 × 10 × 10 = 100.00011⁵ = 11 × 11 × 11 × 11 × 11 = 161.05112⁵ = 12 × 12 × 12 × 12 × 12 = 248.83213⁵ = 13 × 13 × 13 × 13 × 13 = 371.29314⁵ = 14 × 14 × 14 × 14 × 14 = 537.82415⁵ = 15 × 15 × 15 × 15 × 15[tex]\huge \mathscr\red{Pelajari} {Lebih} \: \green{Lanjut}[/tex]https://brainly.co.id/tugas/47350497https://brainly.co.id/tugas/47313559https://brainly.co.id/tugas/47410248https://brainly.co.id/tugas/47410243https://brainly.co.id/tugas/48763598[tex]\huge \mathscr \pink{Detail} \: \purple{Jawaban}[/tex][tex] \: \: \:[/tex]|| Kelas: 9[tex] \: \: \:[/tex]|| Tingkat: SMP[tex] \: \: \:[/tex]|| Materi: Eksponen[tex] \: \: \:[/tex]|| Matpel: Matematika[tex] \: \: \:[/tex]|| Kode soal: 2[tex] \: \: \:[/tex]|| Kode kategorisasi: 9.2.1[tex]\purple{\boxed{\pink{\boxed{\orange{\tt{\star~\blue{ Riiax }~\star}}}}}}[/tex]](https://id-static.z-dn.net/files/d09/be90feb5206b394e146056fe9b308d2c.jpg)
![17² - 15²= 289 - 225=> 64(Opsi C)[tex]\tt\huge\color{violet}{\underbrace{\color{plum}{↓ \: }{\color{lavender}{P}{\color{plum}{e}{\color{lavender}{n}{\color{plum}{d}{\color{lavender}{a}{\color{plum}{h}{\color{lavender}{u}{\color{plum}{l}{\color{lavender}{u}{\color{plum}{a}{\color{lavender}{n}{\color{plum}{ \: ↓}}}}}}}}}}}}}}}[/tex]Eksponen adalah Suatu hasil dari perkalian yg diulang ulang[tex]\colorbox{pink}{Bentuk Umum Eksponen}[/tex][tex]\tt {a}^{b} = a \times a \times a \times a \times a \times a = ...[/tex]Dimana,a = basisb = pangkat[tex]\: \: \: \tt \huge \orange{Sifat \: Sifat \: Eksponen}[/tex][tex]\sf {a}^{b} \times {a}^{c} = {a}^{(b+c)}[/tex][tex]\sf {a}^{b} \div {a}^{c} = {a}^{(b-c)}[/tex][tex]\sf {(a}^{b}{)}^{c} = {a}^{(b \times c)}[/tex][tex]\sf {a}^{0} = 1[/tex][tex]\sf ({a}^{m} \times {a}^{n}{)}^{b} = {a}^{mb} \times {a}^{nb}[/tex][tex]\sf {a}^{m} \times {c}^{m} = (a \times b{)}^{m}[/tex][tex] {a}^{-m} = \frac{ 1 }{ {a}^{m} }[/tex][tex] \: \: \: \tt Contoh \: Eksponen:[/tex]Eksponen Menyederhanakan:12² × 12²= 12^(²+²)= 12^4= 12 × 12 × 12 × 12= 144 × 144=> 20.736Contoh Eksponen(Pangkat):[tex] \: \: \:[/tex] Pangkat 1:1¹ = 12¹ = 23¹ = 34¹ = 45¹ = 56¹ = 67¹ = 78¹ = 8 9¹ = 9 10¹ = 1011¹ = 1112¹ = 1213¹ = 1314¹ = 1415¹ = 15[tex] \: \: \:[/tex] Pangkat 2:1² = 12² = 43² = 94² = 165² = 256² = 367² = 498² = 649² = 8110² = 10011² =12112² = 14413² = 16914² = 19615² = 225[tex] \: \: \:[/tex] Pangkat 3:1³ = 12³ = 83³ = 274³ =645³ = 1256³ =2167³ = 3438³ = 512 9³ = 72910³ = 1.00011³ = 1.33112³ = 1.72813³ = 2.19714³ = 2.74415³ = 3.375[tex] \: \: \:[/tex] Pangkat 4:1⁴ = 12⁴ = 163⁴ = 814⁴ = 2565⁴ = 6256⁴ = 1.2967⁴ = 2.4018⁴ = 4.0969⁴ = 6.56110⁴ = 10.00011⁴ = 14.64112⁴ = 20.73613⁴ = 28.56114⁴ = 38.41615⁴ = 50.625[tex] \: \: \:[/tex] Pangkat 5:1⁵ = 12⁵ = 323⁵ = 2434⁵ = 1.0245⁵ = 3.1256⁵ = 7.7767⁵ = 16.8078⁵ = 32.7689⁵ = 59.04910⁵ = 100.00011⁵ = 161.05112⁵ = 248.83213⁵ = 371.29314⁵ = 537.82415⁵ = 759.375[tex] \: \: \:[/tex]Cara Menghitung bilangan berpangkat:Pangkat 1:[tex] {a}^{b} = a[/tex]Pangkat 2:[tex] {a}^{c} = a \times a[/tex]Pangkat 3:[tex] {m}^{n} = m \times m \times m[/tex]. [tex] \: \: \: \:[/tex]Cara Menghitung Bilangan Pangkat 2:1² = 1 × 1 = 22² = 2 × 2 = 43² = 3 × 3 = 94² = 4 × 4 = 165² = 5 × 5 = 256² = 6 × 6 = 367² = 7 × 7 = 498² = 8 × 8 = 649² = 9 × 9 = 8110² = 10 × 10 = 10011² = 11 × 11 = 12112² = 12 × 12 = 14413² = 13 × 13 = 16814² = 14 × 14 = 19615² = 15 × 15 = 225.[tex] \: \: \: \:[/tex] Cara Menghitung bilangan pangkat 3:1³ = 1 × 1 × 1 = 12³ = 2 × 2 × 2 = 83³ = 3 × 3 × 3 = 274³ = 4 × 4 × 4 = 645³ = 5 × 5 × 5 = 1256³ = 6 × 6 × 6 = 2167³ = 7 × 7 × 7 = 3438³ = 8 × 8 × 8 = 5129³ = 9 × 9 × 9 = 72910³ = 10 × 10 × 10 = 1.00011³ = 11 × 11 × 11 = 1.33112³ = 12 × 12 × 12 = 1.72813³ = 13 × 13 × 13 = 2.19714³ = 14 × 14 × 14 = 2.74415³ = 15 × 15 × 15 = 3.375. [tex] \: \: \:[/tex] Cara Menghitung bilangan pangkat 4:1⁴ = 1 × 1 × 1 × 1 =12⁴ = 2 × 2 × 2 × 2 = 163⁴ = 3 × 3 × 3 × 3 = 814⁴ = 4 × 4 × 4 × 4 = 2565⁴ = 5 × 5 × 5 × 5 = 6256⁴ = 6 × 6 × 6 × 6 = 1.2967⁴ = 7 × 7 × 7 × 7 = 2.4018⁴ = 8 × 8 × 8 × 8 = 4.0969⁴ = 9 × 9 × 9 × 9 = 6.56110⁴ = 10 × 10 × 10 × 10 = 10.00011⁴ = 11 × 11 × 11 × 11 = 14.64112⁴ = 12 × 12 × 12 × 12 = 20.73613⁴ = 13 × 13 × 13 × 13 = 28.56114⁴ = 14 × 14 × 14 × 14 = 38.41615⁴ = 15 × 15 × 15 × 15 = 50.625.[tex] \: \: \:[/tex] Cara menghitung bilangan Pangkat 5:1⁵ = 1 × 1 × 1 × 1 × 1 = 12⁵ = 2 × 2 × 2 × 2 × 2 = 323⁵ = 3 × 3 × 3 × 3 × 3 = 2434⁵ = 4 × 4 × 4 × 4 × 4 = 1.0245⁵ = 5 × 5 × 5 × 5 × 5 = 3.1256⁵ = 6 × 6 × 6 × 6 × 6 = 7.7767⁵ = 7 × 7 × 7 × 7 × 7 = 16.8078⁵ = 8 × 8 × 8 × 8 × 8 = 32.7689⁵ = 9 × 9 × 9 × 9 × 9 = 59.04910⁵ = 10 × 10 × 10 × 10 × 10 = 100.00011⁵ = 11 × 11 × 11 × 11 × 11 = 161.05112⁵ = 12 × 12 × 12 × 12 × 12 = 248.83213⁵ = 13 × 13 × 13 × 13 × 13 = 371.29314⁵ = 14 × 14 × 14 × 14 × 14 = 537.82415⁵ = 15 × 15 × 15 × 15 × 15[tex]\huge \mathscr\red{Pelajari} {Lebih} \: \green{Lanjut}[/tex]https://brainly.co.id/tugas/47350497https://brainly.co.id/tugas/47313559https://brainly.co.id/tugas/47410248https://brainly.co.id/tugas/47410243https://brainly.co.id/tugas/48763598[tex]\huge \mathscr \pink{Detail} \: \purple{Jawaban}[/tex][tex] \: \: \:[/tex]|| Kelas: 9[tex] \: \: \:[/tex]|| Tingkat: SMP[tex] \: \: \:[/tex]|| Materi: Eksponen[tex] \: \: \:[/tex]|| Matpel: Matematika[tex] \: \: \:[/tex]|| Kode soal: 2[tex] \: \: \:[/tex]|| Kode kategorisasi: 9.2.1[tex]\purple{\boxed{\pink{\boxed{\orange{\tt{\star~\blue{ Riiax }~\star}}}}}}[/tex]](https://id-static.z-dn.net/files/d3b/d933df9357857b8119d9742612943df2.jpg)
![17² - 15²= 289 - 225=> 64(Opsi C)[tex]\tt\huge\color{violet}{\underbrace{\color{plum}{↓ \: }{\color{lavender}{P}{\color{plum}{e}{\color{lavender}{n}{\color{plum}{d}{\color{lavender}{a}{\color{plum}{h}{\color{lavender}{u}{\color{plum}{l}{\color{lavender}{u}{\color{plum}{a}{\color{lavender}{n}{\color{plum}{ \: ↓}}}}}}}}}}}}}}}[/tex]Eksponen adalah Suatu hasil dari perkalian yg diulang ulang[tex]\colorbox{pink}{Bentuk Umum Eksponen}[/tex][tex]\tt {a}^{b} = a \times a \times a \times a \times a \times a = ...[/tex]Dimana,a = basisb = pangkat[tex]\: \: \: \tt \huge \orange{Sifat \: Sifat \: Eksponen}[/tex][tex]\sf {a}^{b} \times {a}^{c} = {a}^{(b+c)}[/tex][tex]\sf {a}^{b} \div {a}^{c} = {a}^{(b-c)}[/tex][tex]\sf {(a}^{b}{)}^{c} = {a}^{(b \times c)}[/tex][tex]\sf {a}^{0} = 1[/tex][tex]\sf ({a}^{m} \times {a}^{n}{)}^{b} = {a}^{mb} \times {a}^{nb}[/tex][tex]\sf {a}^{m} \times {c}^{m} = (a \times b{)}^{m}[/tex][tex] {a}^{-m} = \frac{ 1 }{ {a}^{m} }[/tex][tex] \: \: \: \tt Contoh \: Eksponen:[/tex]Eksponen Menyederhanakan:12² × 12²= 12^(²+²)= 12^4= 12 × 12 × 12 × 12= 144 × 144=> 20.736Contoh Eksponen(Pangkat):[tex] \: \: \:[/tex] Pangkat 1:1¹ = 12¹ = 23¹ = 34¹ = 45¹ = 56¹ = 67¹ = 78¹ = 8 9¹ = 9 10¹ = 1011¹ = 1112¹ = 1213¹ = 1314¹ = 1415¹ = 15[tex] \: \: \:[/tex] Pangkat 2:1² = 12² = 43² = 94² = 165² = 256² = 367² = 498² = 649² = 8110² = 10011² =12112² = 14413² = 16914² = 19615² = 225[tex] \: \: \:[/tex] Pangkat 3:1³ = 12³ = 83³ = 274³ =645³ = 1256³ =2167³ = 3438³ = 512 9³ = 72910³ = 1.00011³ = 1.33112³ = 1.72813³ = 2.19714³ = 2.74415³ = 3.375[tex] \: \: \:[/tex] Pangkat 4:1⁴ = 12⁴ = 163⁴ = 814⁴ = 2565⁴ = 6256⁴ = 1.2967⁴ = 2.4018⁴ = 4.0969⁴ = 6.56110⁴ = 10.00011⁴ = 14.64112⁴ = 20.73613⁴ = 28.56114⁴ = 38.41615⁴ = 50.625[tex] \: \: \:[/tex] Pangkat 5:1⁵ = 12⁵ = 323⁵ = 2434⁵ = 1.0245⁵ = 3.1256⁵ = 7.7767⁵ = 16.8078⁵ = 32.7689⁵ = 59.04910⁵ = 100.00011⁵ = 161.05112⁵ = 248.83213⁵ = 371.29314⁵ = 537.82415⁵ = 759.375[tex] \: \: \:[/tex]Cara Menghitung bilangan berpangkat:Pangkat 1:[tex] {a}^{b} = a[/tex]Pangkat 2:[tex] {a}^{c} = a \times a[/tex]Pangkat 3:[tex] {m}^{n} = m \times m \times m[/tex]. [tex] \: \: \: \:[/tex]Cara Menghitung Bilangan Pangkat 2:1² = 1 × 1 = 22² = 2 × 2 = 43² = 3 × 3 = 94² = 4 × 4 = 165² = 5 × 5 = 256² = 6 × 6 = 367² = 7 × 7 = 498² = 8 × 8 = 649² = 9 × 9 = 8110² = 10 × 10 = 10011² = 11 × 11 = 12112² = 12 × 12 = 14413² = 13 × 13 = 16814² = 14 × 14 = 19615² = 15 × 15 = 225.[tex] \: \: \: \:[/tex] Cara Menghitung bilangan pangkat 3:1³ = 1 × 1 × 1 = 12³ = 2 × 2 × 2 = 83³ = 3 × 3 × 3 = 274³ = 4 × 4 × 4 = 645³ = 5 × 5 × 5 = 1256³ = 6 × 6 × 6 = 2167³ = 7 × 7 × 7 = 3438³ = 8 × 8 × 8 = 5129³ = 9 × 9 × 9 = 72910³ = 10 × 10 × 10 = 1.00011³ = 11 × 11 × 11 = 1.33112³ = 12 × 12 × 12 = 1.72813³ = 13 × 13 × 13 = 2.19714³ = 14 × 14 × 14 = 2.74415³ = 15 × 15 × 15 = 3.375. [tex] \: \: \:[/tex] Cara Menghitung bilangan pangkat 4:1⁴ = 1 × 1 × 1 × 1 =12⁴ = 2 × 2 × 2 × 2 = 163⁴ = 3 × 3 × 3 × 3 = 814⁴ = 4 × 4 × 4 × 4 = 2565⁴ = 5 × 5 × 5 × 5 = 6256⁴ = 6 × 6 × 6 × 6 = 1.2967⁴ = 7 × 7 × 7 × 7 = 2.4018⁴ = 8 × 8 × 8 × 8 = 4.0969⁴ = 9 × 9 × 9 × 9 = 6.56110⁴ = 10 × 10 × 10 × 10 = 10.00011⁴ = 11 × 11 × 11 × 11 = 14.64112⁴ = 12 × 12 × 12 × 12 = 20.73613⁴ = 13 × 13 × 13 × 13 = 28.56114⁴ = 14 × 14 × 14 × 14 = 38.41615⁴ = 15 × 15 × 15 × 15 = 50.625.[tex] \: \: \:[/tex] Cara menghitung bilangan Pangkat 5:1⁵ = 1 × 1 × 1 × 1 × 1 = 12⁵ = 2 × 2 × 2 × 2 × 2 = 323⁵ = 3 × 3 × 3 × 3 × 3 = 2434⁵ = 4 × 4 × 4 × 4 × 4 = 1.0245⁵ = 5 × 5 × 5 × 5 × 5 = 3.1256⁵ = 6 × 6 × 6 × 6 × 6 = 7.7767⁵ = 7 × 7 × 7 × 7 × 7 = 16.8078⁵ = 8 × 8 × 8 × 8 × 8 = 32.7689⁵ = 9 × 9 × 9 × 9 × 9 = 59.04910⁵ = 10 × 10 × 10 × 10 × 10 = 100.00011⁵ = 11 × 11 × 11 × 11 × 11 = 161.05112⁵ = 12 × 12 × 12 × 12 × 12 = 248.83213⁵ = 13 × 13 × 13 × 13 × 13 = 371.29314⁵ = 14 × 14 × 14 × 14 × 14 = 537.82415⁵ = 15 × 15 × 15 × 15 × 15[tex]\huge \mathscr\red{Pelajari} {Lebih} \: \green{Lanjut}[/tex]https://brainly.co.id/tugas/47350497https://brainly.co.id/tugas/47313559https://brainly.co.id/tugas/47410248https://brainly.co.id/tugas/47410243https://brainly.co.id/tugas/48763598[tex]\huge \mathscr \pink{Detail} \: \purple{Jawaban}[/tex][tex] \: \: \:[/tex]|| Kelas: 9[tex] \: \: \:[/tex]|| Tingkat: SMP[tex] \: \: \:[/tex]|| Materi: Eksponen[tex] \: \: \:[/tex]|| Matpel: Matematika[tex] \: \: \:[/tex]|| Kode soal: 2[tex] \: \: \:[/tex]|| Kode kategorisasi: 9.2.1[tex]\purple{\boxed{\pink{\boxed{\orange{\tt{\star~\blue{ Riiax }~\star}}}}}}[/tex]](https://id-static.z-dn.net/files/d9b/44a9652ebbc9cbf8238b7f0076fd1f97.jpg)
![17² - 15²= 289 - 225=> 64(Opsi C)[tex]\tt\huge\color{violet}{\underbrace{\color{plum}{↓ \: }{\color{lavender}{P}{\color{plum}{e}{\color{lavender}{n}{\color{plum}{d}{\color{lavender}{a}{\color{plum}{h}{\color{lavender}{u}{\color{plum}{l}{\color{lavender}{u}{\color{plum}{a}{\color{lavender}{n}{\color{plum}{ \: ↓}}}}}}}}}}}}}}}[/tex]Eksponen adalah Suatu hasil dari perkalian yg diulang ulang[tex]\colorbox{pink}{Bentuk Umum Eksponen}[/tex][tex]\tt {a}^{b} = a \times a \times a \times a \times a \times a = ...[/tex]Dimana,a = basisb = pangkat[tex]\: \: \: \tt \huge \orange{Sifat \: Sifat \: Eksponen}[/tex][tex]\sf {a}^{b} \times {a}^{c} = {a}^{(b+c)}[/tex][tex]\sf {a}^{b} \div {a}^{c} = {a}^{(b-c)}[/tex][tex]\sf {(a}^{b}{)}^{c} = {a}^{(b \times c)}[/tex][tex]\sf {a}^{0} = 1[/tex][tex]\sf ({a}^{m} \times {a}^{n}{)}^{b} = {a}^{mb} \times {a}^{nb}[/tex][tex]\sf {a}^{m} \times {c}^{m} = (a \times b{)}^{m}[/tex][tex] {a}^{-m} = \frac{ 1 }{ {a}^{m} }[/tex][tex] \: \: \: \tt Contoh \: Eksponen:[/tex]Eksponen Menyederhanakan:12² × 12²= 12^(²+²)= 12^4= 12 × 12 × 12 × 12= 144 × 144=> 20.736Contoh Eksponen(Pangkat):[tex] \: \: \:[/tex] Pangkat 1:1¹ = 12¹ = 23¹ = 34¹ = 45¹ = 56¹ = 67¹ = 78¹ = 8 9¹ = 9 10¹ = 1011¹ = 1112¹ = 1213¹ = 1314¹ = 1415¹ = 15[tex] \: \: \:[/tex] Pangkat 2:1² = 12² = 43² = 94² = 165² = 256² = 367² = 498² = 649² = 8110² = 10011² =12112² = 14413² = 16914² = 19615² = 225[tex] \: \: \:[/tex] Pangkat 3:1³ = 12³ = 83³ = 274³ =645³ = 1256³ =2167³ = 3438³ = 512 9³ = 72910³ = 1.00011³ = 1.33112³ = 1.72813³ = 2.19714³ = 2.74415³ = 3.375[tex] \: \: \:[/tex] Pangkat 4:1⁴ = 12⁴ = 163⁴ = 814⁴ = 2565⁴ = 6256⁴ = 1.2967⁴ = 2.4018⁴ = 4.0969⁴ = 6.56110⁴ = 10.00011⁴ = 14.64112⁴ = 20.73613⁴ = 28.56114⁴ = 38.41615⁴ = 50.625[tex] \: \: \:[/tex] Pangkat 5:1⁵ = 12⁵ = 323⁵ = 2434⁵ = 1.0245⁵ = 3.1256⁵ = 7.7767⁵ = 16.8078⁵ = 32.7689⁵ = 59.04910⁵ = 100.00011⁵ = 161.05112⁵ = 248.83213⁵ = 371.29314⁵ = 537.82415⁵ = 759.375[tex] \: \: \:[/tex]Cara Menghitung bilangan berpangkat:Pangkat 1:[tex] {a}^{b} = a[/tex]Pangkat 2:[tex] {a}^{c} = a \times a[/tex]Pangkat 3:[tex] {m}^{n} = m \times m \times m[/tex]. [tex] \: \: \: \:[/tex]Cara Menghitung Bilangan Pangkat 2:1² = 1 × 1 = 22² = 2 × 2 = 43² = 3 × 3 = 94² = 4 × 4 = 165² = 5 × 5 = 256² = 6 × 6 = 367² = 7 × 7 = 498² = 8 × 8 = 649² = 9 × 9 = 8110² = 10 × 10 = 10011² = 11 × 11 = 12112² = 12 × 12 = 14413² = 13 × 13 = 16814² = 14 × 14 = 19615² = 15 × 15 = 225.[tex] \: \: \: \:[/tex] Cara Menghitung bilangan pangkat 3:1³ = 1 × 1 × 1 = 12³ = 2 × 2 × 2 = 83³ = 3 × 3 × 3 = 274³ = 4 × 4 × 4 = 645³ = 5 × 5 × 5 = 1256³ = 6 × 6 × 6 = 2167³ = 7 × 7 × 7 = 3438³ = 8 × 8 × 8 = 5129³ = 9 × 9 × 9 = 72910³ = 10 × 10 × 10 = 1.00011³ = 11 × 11 × 11 = 1.33112³ = 12 × 12 × 12 = 1.72813³ = 13 × 13 × 13 = 2.19714³ = 14 × 14 × 14 = 2.74415³ = 15 × 15 × 15 = 3.375. [tex] \: \: \:[/tex] Cara Menghitung bilangan pangkat 4:1⁴ = 1 × 1 × 1 × 1 =12⁴ = 2 × 2 × 2 × 2 = 163⁴ = 3 × 3 × 3 × 3 = 814⁴ = 4 × 4 × 4 × 4 = 2565⁴ = 5 × 5 × 5 × 5 = 6256⁴ = 6 × 6 × 6 × 6 = 1.2967⁴ = 7 × 7 × 7 × 7 = 2.4018⁴ = 8 × 8 × 8 × 8 = 4.0969⁴ = 9 × 9 × 9 × 9 = 6.56110⁴ = 10 × 10 × 10 × 10 = 10.00011⁴ = 11 × 11 × 11 × 11 = 14.64112⁴ = 12 × 12 × 12 × 12 = 20.73613⁴ = 13 × 13 × 13 × 13 = 28.56114⁴ = 14 × 14 × 14 × 14 = 38.41615⁴ = 15 × 15 × 15 × 15 = 50.625.[tex] \: \: \:[/tex] Cara menghitung bilangan Pangkat 5:1⁵ = 1 × 1 × 1 × 1 × 1 = 12⁵ = 2 × 2 × 2 × 2 × 2 = 323⁵ = 3 × 3 × 3 × 3 × 3 = 2434⁵ = 4 × 4 × 4 × 4 × 4 = 1.0245⁵ = 5 × 5 × 5 × 5 × 5 = 3.1256⁵ = 6 × 6 × 6 × 6 × 6 = 7.7767⁵ = 7 × 7 × 7 × 7 × 7 = 16.8078⁵ = 8 × 8 × 8 × 8 × 8 = 32.7689⁵ = 9 × 9 × 9 × 9 × 9 = 59.04910⁵ = 10 × 10 × 10 × 10 × 10 = 100.00011⁵ = 11 × 11 × 11 × 11 × 11 = 161.05112⁵ = 12 × 12 × 12 × 12 × 12 = 248.83213⁵ = 13 × 13 × 13 × 13 × 13 = 371.29314⁵ = 14 × 14 × 14 × 14 × 14 = 537.82415⁵ = 15 × 15 × 15 × 15 × 15[tex]\huge \mathscr\red{Pelajari} {Lebih} \: \green{Lanjut}[/tex]https://brainly.co.id/tugas/47350497https://brainly.co.id/tugas/47313559https://brainly.co.id/tugas/47410248https://brainly.co.id/tugas/47410243https://brainly.co.id/tugas/48763598[tex]\huge \mathscr \pink{Detail} \: \purple{Jawaban}[/tex][tex] \: \: \:[/tex]|| Kelas: 9[tex] \: \: \:[/tex]|| Tingkat: SMP[tex] \: \: \:[/tex]|| Materi: Eksponen[tex] \: \: \:[/tex]|| Matpel: Matematika[tex] \: \: \:[/tex]|| Kode soal: 2[tex] \: \: \:[/tex]|| Kode kategorisasi: 9.2.1[tex]\purple{\boxed{\pink{\boxed{\orange{\tt{\star~\blue{ Riiax }~\star}}}}}}[/tex]](https://id-static.z-dn.net/files/de5/0edeeae0f91d75066f0639373b56566d.jpg)
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Last Update: Mon, 02 May 22