# How do you simplify x^-2/(3x^-3y^2) and write it using only positive exponents?

Aug 6, 2017

$\frac{x}{3 {y}^{2}}$

#### Explanation:

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

•color(white)(x)a^m/a^n=a^((m-n))

rArrx^-2/(3x^-3y^2

$= \frac{1}{3} \times {x}^{-} \frac{2}{x} ^ - 3 \times \frac{1}{y} ^ 2$

$= \frac{1}{3} \times {x}^{- 2 - \left(- 3\right)} / 1 \times \frac{1}{y} ^ 2$

$= \frac{1}{3} \times {x}^{1} / 1 \times \frac{1}{y} ^ 2$

=(1xx x xx1)/(3xx1xxy^2

$= \frac{x}{3 {y}^{2}}$