# How do you rewrite 5/x^2 with negative exponents?

May 4, 2018

$5 {x}^{-} 2$

#### Explanation:

$\text{using the "color(blue)"law of exponents}$

•color(white)(x)a^-mhArr1/a^m

$\Rightarrow \frac{5}{x} ^ 2 = 5 \times \frac{1}{x} ^ 2 = 5 \times {x}^{-} 2 = 5 {x}^{-} 2$

May 4, 2018

$\frac{5}{{x}^{2}}$

When we have a negative exponent, it means that the exponent wants to change it's spot.

${x}^{- 1}$ means $\frac{1}{x}$

$\frac{1}{x} ^ \left(- 1\right)$ means $x$

$5 {x}^{-} 2$