# How do you evaluate (5z)^ -x for z=-3 and x=2?

Jan 6, 2017

$\frac{1}{225}$

#### Explanation:

Using the $\textcolor{b l u e}{\text{law of exponents}}$

$\textcolor{\mathmr{and} a n \ge}{\text{Reminder }} \textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{{a}^{-} m \Leftrightarrow \frac{1}{a} ^ m} \textcolor{w h i t e}{\frac{2}{2}} |}}}$

substituting the given values for x and z into the expression.

$\Rightarrow {\left(5 z\right)}^{-} x = {\left(5 \times - 3\right)}^{-} 2 = {\left(- 15\right)}^{-} 2$

$= \frac{1}{- 15} ^ 2 = \frac{1}{225}$