Question

Simplifying a Power of a Product
Kelly simplified this power of a product.

(7w–9)–3

1. 7–3∙(w–9)–3

2.  1
343
w27

Use Kelly’s steps to simplify this expression.

(5w7)2

What is the simplified power of the product?
5w9
10w14
25w9
25w14

Answer 1

Use (ab)^n = a^n b^n and (x^a)^b = x^{ab}:

(5w^7)^2 = 5^2 · (w^7)^2 = 25 · w^{14}.

Answer: 25w^{14}