500² = By = Dinda Pake cara ! Ku report yg ga

Berikut ini adalah pertanyaan dari unknown pada mata pelajaran Matematika untuk jenjang Sekolah Menengah Pertama

500² =

By = Dinda

Pake cara ! Ku report yg ga pake cara .-.

Jawaban dan Penjelasan

Berikut ini adalah pilihan jawaban terbaik dari pertanyaan diatas.

$\tt\huge\color{violet}{\underbrace{\color{plum}{↓ \: }{\color{lavender}{P}{\color{purple}{e}{\color{lavender}{n}{\color{purple}{d}{\color{lavender}{a}{\color{purple}{h}{\color{lavender}{u}{\color{purple}{l}{\color{lavender}{u}{\color{purple}{a}{\color{lavender}{n}{\color{plum}{ \: ↓}}}}}}}}}}}}}}}$

$\tt \color{pink}{Bilangan \: Berpangkat }$

Bilangan berpangkat adalah perkalian berulang-ulang dengan bilangan yang sama sebanyak pangkatnya. Nama lain bilangan berpangkat adalah eksponen. bentuk umum bilangan berpangkat dinyatakan sebagai aⁿ (dibaca a pangkat n), dimana a dikalikan sebanyak n.

$\tt \color{pink}{♣Bentuk \: Umum :}$

$\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered} \red{ \sf {a}^{n} = \sf \underbrace{ \: a \times a \times a \times ... \times a \times a}} \\ \green{\sf {}^{ \: \: \: \: \: \: \: \: sebanyak \: n \: faktor} }\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}$

$\tt \color{yellow}{♣Contoh ~ Perpangkatan :}$

$\sf {1}^{1} = 1 × 1 = 2$

$\sf {2}^{2} = 2 \times 2 = 4$

$\sf {3}^{2} = 3 \times 3 = 9$

$\sf{4}^{2} = 4 \times 4 = 16$

$\sf {5}^{2} = 5 \times 5 = 25$

$\sf {6}^{2} = 6 \times 6 = 36$

$\sf {7}^{2} = 7 \times 7 = 49$

$\sf {8}^{2} = 8 \times 8 = 64$

$\sf {9}^{2} = 9 \times 9 = 81$

$\sf {10}^{2} = 10 \times 10 = 100$

$\sf {11}^{2} = 11 \times 11 = 121$

$\sf {12}^{2} = 12 \times 12 = 144$

$\sf {13}^{2} = 13 \times 13 = 169$

$\sf {14}^{2} = 14 \times 14 = 196$

$\sf {15}^{2} = 15 \times 15 = 225$

$\sf {16}^{2} = 16 \times 16= 256$

$\sf {17}^{2} = 17 \times 17 = 289$

$\sf {18}^{2} = 18 \times 18 = 324$

$\sf {19}^{2} = 19 \times 19 = 361$

$\sf {20}^{2} = 20 \times 20 = 400$

$\tt \color{yellow}{♣Contoh ~ Perpangkatan \: menyederhanakan :}$

15² × 15² =

= 15^(2 + 2)

= 15⁴

= 15 × 15 × 15 × 15

= 225 × 15 × 15

= 3.375 × 15

= 50.625

- - - - - - - - - - - - - - - -

$\tt \color{yellow}{♣Cara ~ Mencari ~ Nilai ~ Perpangkatan ~ 2 :}$

A² = A × A

C² = U × U

V² = V × V

$\tt \color{yellow}{♣Cara ~ Mencari ~ Nilai ~ Perpangkatan ~ 3 :}$

K³ = K × K × K

Z³ = Z × Z × Z

B³ = D × D × D

- - - - - - - - - - - - - - - -

$\tt \color{blue}{♣Sifat-sifat ~ Perpangkatan:}$

$\sf {a}^{n} \times {a}^{m} = {a}^{n + m}$
$\sf {a}^{m} \div {a}^{n} = {a}^{m - n}$
$\sf( {a}^{n} ) {}^{m} = {a}^{n \times m}$
$\sf {(a \times b)}^{n} = {a}^{n} \times {b}^{n}$
$\sf {(a \div b)}^{m} = \frac{ {a}^{m} }{ {b}^{m} }$
$\sf \sqrt[n]{ {a}^{m} } = {a}^{ \frac{m}{n} }$
$\sf {a}^{0} = 1$
$\sf {a}^{1} = a$

- - - - - - - - - - - - - - - - -

$\tt \color{blue}{♣Contoh ~ Perpangkatan ~ 2 :}$

1² = 1 × 1 = 1

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

$\tt \color{orange}{♣Contoh ~ Perpangkatan ~ 3 :}$

1³ = 1 × 1 × 1 = 1

2³ = 2 × 2 × 2 = 8

3³ = 3 × 3 × 3 = 27

4³ = 4 × 4 × 4 = 64

5³ = 5 × 5 × 5 = 124

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

$\tt \color{green}{♣Contoh ~ Perpangkatan ~ 4 :}$

1³ = 1 × 1 × 1 × 1 = 4

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

$\tt \color{purple}{♣Contoh ~ Perpangkatan ~ 5 :}$

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

$\huge \bf{ \color{plum}{P} \color{purple}{e} \color{plum}{m} \color{purple}{b} \color{plum}{a} \color{purple}{h} \color{plum}{a} \color{purple}{s} \color{plum}{a} \color{purple}{n} \color{plum}{}}$

500² =

= 500 × 500

= 250.000

$\huge \bf{ \color{plum}{K} \color{purple}{e} \color{plum}{s} \color{purple}{i} \color{plum}{m} \color{purple}{p} \color{plum}{u} \color{purple}{l} \color{plum}{a} \color{purple}{n} \color{plum}{}}$

Maka, hasil dari 500² adalah $\boxed{\bf \color{pink}{250.000}}$

${ \color{lavender}{ \underbrace{ \huge{ \bold{ \color{pink}{Learn \ More}}}}}}$

${ \color{lavender}{ \underbrace{ \huge{ \bold{ \color{skyblue}{Detail \ Jawaban }}}}}}$

Kelas : 9
Tingkat : SMP ( Sekolah Menengah Pertama )
Mapel : Math
Bab : 1
Materi = Eksponen
Kode Mapel : 2
Kode Kategorisasi : 9.2.1
Kata Kunci : Hasil dari bilangan berpangkat 500²

$[tex]\tt\huge\color{violet}{\underbrace{\color{plum}{↓ \: }{\color{lavender}{P}{\color{purple}{e}{\color{lavender}{n}{\color{purple}{d}{\color{lavender}{a}{\color{purple}{h}{\color{lavender}{u}{\color{purple}{l}{\color{lavender}{u}{\color{purple}{a}{\color{lavender}{n}{\color{plum}{ \: ↓}}}}}}}}}}}}}}}[/tex][tex]\tt \color{pink}{Bilangan \: Berpangkat }[/tex]Bilangan berpangkat adalah perkalian berulang-ulang dengan bilangan yang sama sebanyak pangkatnya. Nama lain bilangan berpangkat adalah eksponen. bentuk umum bilangan berpangkat dinyatakan sebagai aⁿ (dibaca a pangkat n), dimana a dikalikan sebanyak n.[tex]\tt \color{pink}{♣Bentuk \: Umum :}[/tex][tex]\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered} \red{ \sf {a}^{n} = \sf \underbrace{ \: a \times a \times a \times ... \times a \times a}} \\ \green{\sf {}^{ \: \: \: \: \: \: \: \: sebanyak \: n \: faktor} }\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}[/tex][tex]\tt \color{yellow}{♣Contoh ~ Perpangkatan :}[/tex][tex]\sf {1}^{1} = 1 × 1 = 2[/tex][tex]\sf {2}^{2} = 2 \times 2 = 4[/tex][tex]\sf {3}^{2} = 3 \times 3 = 9[/tex][tex]\sf{4}^{2} = 4 \times 4 = 16[/tex][tex]\sf {5}^{2} = 5 \times 5 = 25[/tex][tex]\sf {6}^{2} = 6 \times 6 = 36[/tex][tex]\sf {7}^{2} = 7 \times 7 = 49[/tex][tex]\sf {8}^{2} = 8 \times 8 = 64[/tex][tex]\sf {9}^{2} = 9 \times 9 = 81[/tex][tex]\sf {10}^{2} = 10 \times 10 = 100[/tex][tex]\sf {11}^{2} = 11 \times 11 = 121[/tex][tex]\sf {12}^{2} = 12 \times 12 = 144[/tex][tex]\sf {13}^{2} = 13 \times 13 = 169[/tex][tex]\sf {14}^{2} = 14 \times 14 = 196[/tex][tex]\sf {15}^{2} = 15 \times 15 = 225[/tex][tex]\sf {16}^{2} = 16 \times 16= 256[/tex][tex]\sf {17}^{2} = 17 \times 17 = 289[/tex][tex]\sf {18}^{2} = 18 \times 18 = 324[/tex][tex]\sf {19}^{2} = 19 \times 19 = 361[/tex][tex]\sf {20}^{2} = 20 \times 20 = 400[/tex][tex]\tt \color{yellow}{♣Contoh ~ Perpangkatan \: menyederhanakan :}[/tex]15² × 15² == 15^(2 + 2)= 15⁴= 15 × 15 × 15 × 15= 225 × 15 × 15= 3.375 × 15= 50.625- - - - - - - - - - - - - - - -[tex]\tt \color{yellow}{♣Cara ~ Mencari ~ Nilai ~ Perpangkatan ~ 2 :}[/tex]A² = A × AC² = U × UV² = V × V[tex]\tt \color{yellow}{♣Cara ~ Mencari ~ Nilai ~ Perpangkatan ~ 3 :}[/tex]K³ = K × K × KZ³ = Z × Z × ZB³ = D × D × D- - - - - - - - - - - - - - - -[tex]\tt \color{blue}{♣Sifat-sifat ~ Perpangkatan:}[/tex][tex]\sf {a}^{n} \times {a}^{m} = {a}^{n + m}[/tex][tex]\sf {a}^{m} \div {a}^{n} = {a}^{m - n}[/tex][tex]\sf( {a}^{n} ) {}^{m} = {a}^{n \times m}[/tex][tex]\sf {(a \times b)}^{n} = {a}^{n} \times {b}^{n}[/tex][tex]\sf {(a \div b)}^{m} = \frac{ {a}^{m} }{ {b}^{m} }[/tex][tex]\sf \sqrt[n]{ {a}^{m} } = {a}^{ \frac{m}{n} }[/tex][tex]\sf {a}^{0} = 1[/tex][tex]\sf {a}^{1} = a[/tex]- - - - - - - - - - - - - - - - -[tex]\tt \color{blue}{♣Contoh ~ Perpangkatan ~ 2 :}[/tex]1² = 1 × 1 = 12² = 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 = 100[tex]\tt \color{orange}{♣Contoh ~ Perpangkatan ~ 3 :}[/tex]1³ = 1 × 1 × 1 = 12³ = 2 × 2 × 2 = 83³ = 3 × 3 × 3 = 274³ = 4 × 4 × 4 = 645³ = 5 × 5 × 5 = 1246³ = 6 × 6 × 6 = 2167³ = 7 × 7 × 7 = 3438³ = 8 × 8 × 8 = 5129³ = 9 × 9 × 9 = 72910³ = 10 × 10 × 10 = 1.000[tex]\tt \color{green}{♣Contoh ~ Perpangkatan ~ 4 :}[/tex]1³ = 1 × 1 × 1 × 1 = 42⁴ = 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 = 10.000[tex]\tt \color{purple}{♣Contoh ~ Perpangkatan ~ 5 :}[/tex]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 = 100.000[tex]\huge \bf{ \color{plum}{P} \color{purple}{e} \color{plum}{m} \color{purple}{b} \color{plum}{a} \color{purple}{h} \color{plum}{a} \color{purple}{s} \color{plum}{a} \color{purple}{n} \color{plum}{}}[/tex]500² == 500 × 500= 250.000[tex]\huge \bf{ \color{plum}{K} \color{purple}{e} \color{plum}{s} \color{purple}{i} \color{plum}{m} \color{purple}{p} \color{plum}{u} \color{purple}{l} \color{plum}{a} \color{purple}{n} \color{plum}{}}[/tex]Maka, hasil dari 500² adalah [tex]\boxed{\bf \color{pink}{250.000}}[/tex][tex]{ \color{lavender}{ \underbrace{ \huge{ \bold{ \color{pink}{Learn \ More}}}}}}[/tex]https://brainly.co.id/tugas/47014842https://brainly.co.id/tugas/47013484https://brainly.co.id/tugas/47010415https://brainly.co.id/tugas/46592229[tex]{ \color{lavender}{ \underbrace{ \huge{ \bold{ \color{skyblue}{Detail \ Jawaban }}}}}}[/tex]Kelas : 9Tingkat : SMP ( Sekolah Menengah Pertama )Mapel : MathBab : 1Materi = Eksponen Kode Mapel : 2Kode Kategorisasi : 9.2.1Kata Kunci : Hasil dari bilangan berpangkat 500²$

Semoga dengan pertanyaan yang sudah terjawab oleh MochiiKu dapat membantu memudahkan mengerjakan soal, tugas dan PR sekolah kalian.

Apabila terdapat kesalahan dalam mengerjakan soal, silahkan koreksi jawaban dengan mengirimkan email ke yomemimo.com melalui halaman Contact

Last Update: Wed, 27 Apr 22

<< Previous Post

Next Post >>

Kerjakan soal, tugas, & PR sekolah semakin mudah

500² = By = Dinda Pake cara ! Ku report yg ga

Jawaban dan Penjelasan

Video Tutorial Android dan Smartphone

Pertanyaan Lain Mata pelajaran Matematika