Question

Bikin kuis. (iv.)
Sederhanakanlah
(a.) (a⁵b²c³)⁻⁴
(b.) (ab³)⁵
(c.) (8a³) ÷ (16a²)

Answer 1

Tentu, berikut kuis untuk Anda:

**(a.) Sederhanakan (a⁵b²c³)⁻⁴**

**(b.) Sederhanakan (ab³)⁵**

**(c.) Sederhanakan (8a³) ÷ (16a²)**

Tolong berikan jawaban Anda untuk masing-masing bagian!

Answer 2

Verified answer

(a^n)^n = a^(n x n)

(ab)^n = a^n . b^n

A.(a^5 x b^2 x c^3)^-4 = (a^5)^-4 x (b^2)^-4 x (c^3)^-4

= a^(5 x -4) x b^(2 x -4) x c^(3 x -4) = a^-20 x b^-8 x c^-12 = a^-20b^-8c^-12 atau 1/(a^20b^8c^12)

B. (ab^3)^5 = a^5 x (b^3)^5 = a^5 x b^(3 x 5) = a^5b^15.

C. (8a^3) / (16a^2) = (8a^3) x (16a^2)^-1 = 8a^3 x 16^-1 x (a^2)^-1 = 8a^3 x (2^4)^-1 x a^(2 x -1) = 8 x a^3 x 2^(4 x -1) x a^-2 = 8 x 2^-4 x a^3 x a^-2 = 2^3 x 2^-4 x a^3 x a^-2 = 2^(3 + (-4) x a^(3 + (-2) = 2^(-1) x a = a/2.