1. Sederhanakan a. (5³)²:(5⁴)³ b. (16⁵:4⁵)x4³ c. 21¹¹:7¹¹​

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1. Sederhanakan a. (5³)²:(5⁴)³ b. (16⁵:4⁵)x4³ c. 21¹¹:7¹¹​

boxed{ underline{ red{Nomor 1}}}

frac{(5 {}^{3} ) {}^{2} }{(5 {}^{4} ) {}^{3} } =

= frac{5 {}^{3 times 2} }{5 {}^{4 times 3} }

= frac{5 {}^{6} }{5 {}^{12} }

= 5 {}^{6 - 12}

= boxed{5 {}^{ - 6} }

Hasilnya

5 {}^{ - 6} =

= frac{1}{5 {}^{6} }

= frac{1}{15.625}

__________________________

boxed{ underline{ red{Nomor 2}}}

frac{16 {}^{5} }{4 {}^{5} } times 4 {}^{3} =

= frac{(4 times 4) {}^{5} }{4 {}^{5} } times 4 {}^{3}

= frac{4 {}^{5} times 4 {}^{5} }{4 {}^{5} } times 4 {}^{3}

= frac{4 {}^{5 + 5} }{4 {}^{5} } times 4 {}^{3}

= frac{4 {}^{10} }{4 {}^{5} } times 4 {}^{3}

= 4 {}^{10 - 5} times 4 {}^{3}

= 4 {}^{5} times 4 {}^{3}

= 4 {}^{5 + 3}

= boxed{ 4 {}^{8} }

Hasilnya

4 {}^{8} = 65.536

__________________________

boxed{ underline{ red{Nomor 3}}}

frac{21 {}^{11} }{7 {}^{11} } =

= frac{(7 times 3) {}^{11} }{7 {}^{11} }

= frac{7 {}^{11} times 3 {}^{11} }{7 {}^{11} }

= 7 {}^{11 - 11} times 3 {}^{11}

= 7 {}^{0} times 3 {}^{11}

= boxed{3 {}^{11} }

Hasilnya

3 {}^{11} = 177.147

Pelajari Lebih Lanjut :

1) Menyatakan Perkalian Berulang ke Bilangan Berpangkat

2) Operasi Hitung Bilangan Berpangkat

3) Operasi Hitung Bilangan Berpangkat HOTS (Higher Order Thingking Skill)

4) Bentuk Baku

5) Mengubah Bentuk Bentuk Baku ke Bentuk Biasa

Detail Jawaban :

Kelas : 9

Mapel : Matematika

Materi : Bilangan Berpangkat

Kode Kategorisasi : 9.2.1

Kata Kunci : Bentuk Sederhana, Pangkat, Kali, Bagi

a) (5³)²:(5⁴)³

= 5³×² : 5⁴׳

= 5^6 : 5^12 = 5^6-12

= 5^-6 = 1/5^6

= 1/(5×5×5×5×5×5)

= 1/15.625

b) (16⁵:4⁵)x4³

= ((16×16×16×16×16) : (4×4×4×4×4)) × (4×4×4)

= (1.048.576 : 1.024) × 64

= 1.024 × 64

= 65.536

c) 21¹¹:7¹¹

= (21×21×21×21×21×21×21×21×21×21×21) : (7×7×7×7×7×7×7×7×7×7×7)

= 350.277.500.542.221 : 1.977.326.743

= 177.147