Bilangan jika diubah menjadi bentuk akar adalah…

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Bilangan

jika diubah menjadi bentuk akar adalah…

Sifat yang digunakan:

  • sf {a}^{frac{m}{n}} = sqrt[n]{{a}^{m}} : dan : sqrt[2]{a} = sqrt{a}

Maka:

sf {7}^{frac{3}{2}} = sqrt[2]{{7}^{3}} = sqrt{{7}^{3}}

boxed{large{xrightarrow{sf jawaban} boxed{sf sqrt{{7}^{3}}}}}

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Bilangan eksponen atau yang biasa disebut bilangan berpangkat adalah bilangan yang dikalikan secara berulang-ulang dengan bilangan itu sendiri. Eksponensial dituliskan dengan angka maupun huruf di sebelah kanan atas ekspresi matematika tertentu yang disebut dengan basis.

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Dahulukan perkalian (×) atau pembagian (:)  

Setelah itu  kerjakan operasi hitung plus (+) dan minus(-)

**

Sifat-Sifat Bilangan Berpangkat (eksponen) :

  • {sf{{a}^{n}} : = : underbrace{sf{atimes atimes atimes atimes dots times a}}_{sf{n}}}
  • {sf {a}^{0} = 1}
  • {sf{{a}^{m} times {a}^{n} : = : {a}^{m + n}}}
  • {sf{{a}^{m} div {a}^{n} : = : {a}^{m-n}}}
  • {sf{({a}^{m})}^{n} : = : {a}^{mtimes n}}
  • {sf{(a div b)}^{n} : = : {a}^{n} div {b}^{n}}
  • { sf{(a times b)}^{n} : = : {a}^{n}times{b}^{n}}
  • {sf{{a}^{-n}=dfrac{1}{{a}^{n}}}}
  • {sf{{a}^{ frac{m}{n}} : = : sqrt[m]{{a}^{n}}}}
  • {sf{left(dfrac{a}{b}right)}^{n} : = : dfrac{{a}^{n}}{{b}^{n}}}
  • {sf{left(dfrac{a}{b}right)}^{-n} : = : {left(dfrac{b}{a}right)}^ {n}}

**

Keterangan:

  • aⁿ = a × a × a × …
  • n = eksponen atau pangkat
  • a = bilangan pokok atau basis
  • aⁿ = bilangan berpangkat atau eksponen
  • a × a × a × …  sampai dengan n suku merupakan hasil perpangkatan

**

boxed {sf {⟱ : Contoh : Bilangan : Pangkat : 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
  • ➳ 11² = 11 × 11 = 121
  • ➳ 12² = 12 × 12 = 144
  • ➳ 13² = 13 × 13 = 169
  • ➳ 14² = 14 × 14 = 196
  • ➳ 15² = 15 × 15 = 225
  • ➳ 16² = 16 × 16 = 256
  • ➳ 17² = 17 × 17 = 289
  • ➳ 18² = 18 × 18 = 324
  • ➳ 19² = 19 × 19 = 361
  • ➳ 20² = 20 × 20 = 400

**

boxed {sf {⟱ : Contoh : 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
  • ➳ 16³ = 16 × 16 × 16 = 4.096
  • ➳ 17³ = 17 × 17 × 17 = 4.913
  • ➳ 18³ = 18 × 18 × 18 = 5.832
  • ➳ 19³ = 19 × 19 × 19 = 6.859
  • ➳ 20³ = 20 × 20 × 20 = 8.000

**

boxed {sf {⟱ : Contoh : 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
  • ➳ 16⁴ = 16 × 16 × 16 × 16 = 65.536
  • ➳ 17⁴ = 17 × 17 × 17 × 17 = 83.521
  • ➳ 18⁴ = 18 × 18 × 18 × 18 = 104.976
  • ➳ 19⁴ = 19 × 19 × 19 × 19 = 130.321
  • ➳ 20⁴ = 20 × 20 × 20 × 20 = 160.000

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Kelas  : 9 SMP

Mapel : Matematika

Materi : Bab 1 – Bilangan Berpangkat

Kode kategorisasi : 9.2.1

Kata Kunci : Perpangkatan atau Eksponen

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