How do you simplify ((2a^4b^3)/(c^6))^3?

Jan 24, 2017

See the entire simplification process below:

Explanation:

We can rewrite this expression as:

${\left(2 {a}^{4} {b}^{3}\right)}^{3} / {\left({c}^{6}\right)}^{3}$

Then we can use this rule for exponents to simplify:

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

$\frac{{2}^{3} {a}^{4 \times 3} {b}^{3 \times 3}}{c} ^ \left(6 \times 3\right)$

$\frac{8 {a}^{12} {b}^{9}}{c} ^ 18$