Question

Practice simplifying expressions using the power of a power and the power of a product rules.
Examine and complete the work simplifying the expression (23)3.

1. Expand using 3 factors of 23:   (23)(23)(23)

2. Apply the product of a power:   23 + 3 + 3

3. Simplify:            2x

Answer the questions about simplifying and evaluating the expression (23)3 .

What is the value of x in the simplified power?


What is the value of the expression?

Answer 1

Using the power rules:

(2^3)^3 = 2^{3·3} = 2^9.

So x = 9, and the value is 2^9 = 512.