# How do you simplify (a^3/b^5)^4 and write it using only positive exponents?

Sep 15, 2016

${a}^{12} / {b}^{20}$

#### Explanation:

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

$\textcolor{\mathmr{and} a n \ge}{\text{Reminder }}$

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{{\left({a}^{m} / {b}^{m}\right)}^{n} = {a}^{m n} / {b}^{m n}} \textcolor{w h i t e}{\frac{a}{a}} |}}}$

$\Rightarrow {\left({a}^{3} / {b}^{5}\right)}^{4} = {a}^{3 \times 4} / {b}^{5 \times 4} = {a}^{12} / {b}^{20}$