# How do you simplify (4m^5)^5 and write it using only positive exponents?

Mar 4, 2018

See a solution process below:

#### Explanation:

First, use this rule for exponents to rewrite the term within the parenthesis:

$a = {a}^{\textcolor{red}{1}}$

${\left({4}^{\textcolor{red}{1}} {m}^{5}\right)}^{5}$

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

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

${\left({4}^{\textcolor{red}{1}} {m}^{\textcolor{red}{5}}\right)}^{\textcolor{b l u e}{5}} \implies$

${4}^{\textcolor{red}{1} \times \textcolor{b l u e}{5}} {m}^{\textcolor{red}{5} \times \textcolor{b l u e}{5}} \implies$

${4}^{5} {m}^{25} \implies$

$1024 {m}^{25}$