Question

Simplify ((–3)^2)^3 A. (–3)^6 B. (3)^6 C. (3)^5 D. (–3)^5

Answer 1

Answer:

A and B

Step-by-step explanation:

using the law of exponents

• $(a^m)^{n}$ = $a^{mn}$, hence

$((-3)^2)^{3}$ = $(-3)^{6}$ → A

note that (- 3)² = 9 = 3², hence

$(-3)^2)^{3}$ = (3²)³ = $(3)^{6}$ → B

Answer 2

$Use\ (a^n)^m=a^{(n)(m)}\\\\((-3)^2)^3=(3^2)^3=3^{(2)(3)}=3^6\\\\((-3)^2)^3=(-3)^{(2)(3)}=(-3)^6$

Two answers: A. (-3)^6 and B. (3)^6.

But simplified is B. (3)^6