Chapter 4.2, Problem 49HP

To determine

To simplify the expressions given in the Sets.

Explanation of Solution

Given information:

Set 1: $2^{-2},{(-2)}^{-2},{(-2)}^2,2^2$

Set 2: $2^{-3},{(-2)}^{-3},{(-2)}^3,2^3$

Set 1: $\frac{1}{2^2},\frac{1}{2^2},2^2,2^2$

The expressions: $2^{-2}={(-2)}^{-2};{(-2)}^2=2^2$

Set 2: $\frac{1}{2^3},-\frac{1}{2^3},-2^3,2^3$

1. The expressions are equal because their power is an even number.

The expressions is true, only when $x$

2. is an even number.

The expressions is true, only when $x$

3. is an even number.