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Q. [tex][24/93]Q¹⁴³ + Q²³¹ ÷ Q²¹ = 9³ = ...nt

Berikut ini adalah pertanyaan dari KafiLukmanhakim pada mata pelajaran Matematika untuk jenjang Sekolah Dasar

Q. [tex][24/93]
Q¹⁴³ + Q²³¹ ÷ Q²¹ =
9³ = ...
nt : lah kok bisaa...​
Q. [tex][24/93]Q¹⁴³ + Q²³¹ ÷ Q²¹ = 9³ = ...nt : lah kok bisaa...​

Jawaban dan Penjelasan

Berikut ini adalah pilihan jawaban terbaik dari pertanyaan diatas.

Q^143 + Q^231 ÷ Q^21

= Q^(143 + 231 - 21)

=> Q^353

9³

= 9 × 9 × 9

= 81 × 9

=> 729

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Eksponen adalah Suatu hasil dari perkalian yg diulang ulang

\colorbox{pink}{Bentuk Umum Eksponen}

\tt {a}^{b} = a \times a \times a \times a \times a \times a = ...

Dimana,

a = basis

b = pangkat

\: \: \: \tt \huge \orange{Sifat \: Sifat \: Eksponen}

\sf {a}^{b} \times {a}^{c} = {a}^{(b+c)}

\sf {a}^{b} \div {a}^{c} = {a}^{(b-c)}

\sf {(a}^{b}{)}^{c} = {a}^{(b \times c)}

\sf {a}^{0} = 1

\sf ({a}^{m} \times {a}^{n}{)}^{b} = {a}^{mb} \times {a}^{nb}

\sf {a}^{m} \times {c}^{m} = (a \times b{)}^{m}

{a}^{-m} = \frac{ 1 }{ {a}^{m} }

\: \: \: \tt Contoh \: Eksponen:

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:

{a}^{b} = a

Pangkat 2:

{a}^{c} = a \times a

Pangkat 3:

{m}^{n} = m \times m \times m

. \: \: \: \: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 = 759.375

\huge \mathscr\red{Pelajari} {Lebih} \: \green{Lanjut}

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\huge \mathscr \pink{Detail} \: \purple{Jawaban}

\: \: \:|| Kelas: 9

\: \: \:|| Tingkat: SMP

\: \: \:|| Materi: Eksponen

\: \: \:|| Matpel: Matematika

\: \: \:|| Kode soal: 2

\: \: \:|| Kode kategorisasi: 9.2.1

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Last Update: Tue, 03 May 22
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