# How do you simplify (0.4h^5)^3?

Feb 5, 2017

See the entire simplification process below:

#### Explanation:

Use these two rules of exponents to simplify this expression:

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

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

${\left(0.4 {h}^{5}\right)}^{3} \to {\left({0.4}^{\textcolor{red}{1}} {h}^{\textcolor{red}{5}}\right)}^{3} \to {0.4}^{\textcolor{red}{1} \times \textcolor{b l u e}{3}} {h}^{\textcolor{red}{5} \times \textcolor{b l u e}{3}} \to {0.4}^{3} {h}^{15} \to 0.064 {h}^{15}$