# How do you simplify (a^2b^2c)^3?

May 5, 2018

${a}^{6} {b}^{6} {c}^{3}$

#### Explanation:

Using power of a power rule, we know that,

${\left({a}^{m}\right)}^{n} = {a}^{m n}$

Hence,

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

$= \left({a}^{2 \times 3} {b}^{2 \times 3} {c}^{3}\right)$

$= {a}^{6} {b}^{6} {c}^{3}$