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Q. BY => Me :v , _, _, ;-;

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Q. BY => Me :v

_

 \sf {50}^{3}  +  {20}^{3}  =
_

;-;​

Pendahuluan :

\tt \color{red}{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}\begin{gathered}\begin{gathered} \pink{ \sf {a}^{n} = \sf nderbrace{ \: a \times a \times a \times ... \times a \times a}} \\ \pink{\sf {}^{ \: \: \: \: \: \: \: \: sebanyak \: n \: faktor} }\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}

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

\sf {1}^{1} = 1 × 1 = 1

\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{red}{♣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{red}{♣Cara ~ Mencari ~ Nilai ~ Perpangkatan ~ 3 :}

K³ = K × K × K

Z³ = Z × Z × Z

B³ = D × D × D

– – – – – – – – – – – – – – – – —

\tt \color{blue}{♣Sifat-sifat ~ Perpangkatan:}♣Sifat−sifat Perpangkatan:tex\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 \sqrtn{ {a}^{m} } = {a}^{ \frac{m}{n} }
  • \sf {a}^{0} = 1
  • \sf {a}^{1} = a
  • – – – – – – – – – – – – – – – – –

    \tt \color{red}{♣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{red}{♣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{red}{♣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{red}{♣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

    Pembahasan =

    \tt {50}^{3}  +   {20}^{3}  =

    \tt = (50 \times 50 \times 50) + (20 \times 20 \times 20)

    \tt = (2.500 \times 50) + (400 \times 20)

    \tt = 125.000 + 8.000

    \tt = 133.000

    { \color{lavender}{ nderbrace{ \huge{ \bold{ \color{red}{Learn \ More}}}}}}

    { \color{lavender}{ nderbrace{ \huge{ \bold{ \color{skyblue}{Detail \ Jawaban }}}}}}

    • Kelas : 9
    • Tingkat : Sekolah Menengah Pertama ( SMP )
    • Mapel : Math
    • Bab : 1
    • Materi = Bilangan Berpangkat
    • Kode Mapel : 2
    • Kode Kategorisasi : 9.2.1
    • Kata kunci = Hasil dari bilangan berpangkat 50³ + 20³

    \huge\tt\color{FF6666}{@Mo}\color{FFB266}{c}\color{B2FF66}{hii}\color{66FF66}{k}\color{66FFFF}{u}\color{66B2FF}{u}\color{6666FF}{}\color{B266FF}{}\color{FF66FF}{}\color{FF66B2}{} \color{FF9999}{}\color{FFCC99}


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