Question

Simplify ((–3)^2)^3


A. (–3)^6
B. (3)^6
C. (3)^5
D. (–3)^5

Answer 1

`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

Answer 2

A and B

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