Chapter 13.2, Problem 18AR

To determine

To simplify. Use only positive exponents ${\left(x^2\right)}^{-2}$.

Answer to Problem 18AR

The required solution is ${\left(x^2\right)}^{-2}=\frac{1}{x^4}$ .

Explanation of Solution

Given information: The number is ${\left(x^2\right)}^{-2}$ .

Calculation: The required solution is obtained as,

When there is a negative exponent, just put the whole thing under 1 and get rid to the negative.

  $\begin{array}{l}{\left(x^2\right)}^{-2}\\ =\frac{1}{x^4}\end{array}$

Hence, the required solution is ${\left(x^2\right)}^{-2}=\frac{1}{x^4}$ .