# How do you simplify and write 3x^-2y^-5 with positive exponents?

Aug 3, 2016

$\frac{3}{{x}^{2} {y}^{5}}$

#### Explanation:

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

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

$\Rightarrow 3 {x}^{-} 2 {y}^{-} 5 = \frac{3}{1} \times \frac{1}{x} ^ 2 \times \frac{1}{y} ^ 5$

We are effectively multiplying 3 fractions together.

$\Rightarrow 3 {x}^{-} 2 {y}^{-} 5 = \frac{3 \times 1 \times 1}{1 \times {x}^{2} \times {y}^{5}} = \frac{3}{{x}^{2} {y}^{5}}$