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

Jul 19, 2017

See a solution process below:

#### Explanation:

First, use this rule of exponents to simplify the expression on the left:

${\left({x}^{\textcolor{red}{a}}\right)}^{\textcolor{b l u e}{b}} = {x}^{\textcolor{red}{a} \times \textcolor{b l u e}{b}}$

${\left({x}^{\textcolor{red}{- 3}}\right)}^{\textcolor{b l u e}{- 3}} {x}^{3} \implies {x}^{\textcolor{red}{- 3} \times \textcolor{b l u e}{- 3}} {x}^{3} = {x}^{9} {x}^{3}$

Now, use this rule of exponents to complete the simplification:

${x}^{\textcolor{red}{a}} \times {x}^{\textcolor{b l u e}{b}} = {x}^{\textcolor{red}{a} + \textcolor{b l u e}{b}}$

${x}^{\textcolor{red}{9}} {x}^{\textcolor{b l u e}{3}} \implies {x}^{\textcolor{red}{9} + \textcolor{b l u e}{3}} = {x}^{12}$