Chapter A.1, Problem 96AYU

To determine

To simplify: Each expression. Express the answer so that all exponents are positive. Whenever an exponent is 0 or negative, we assume that the base is not 0.

Answer to Problem 96AYU

$-\frac{1}{4x^2}$

Explanation of Solution

Given:

${\left(-4x^2\right)}^{-1}$

Calculation:

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