# How do you simplify (q^10)^3?

May 17, 2016

=color(blue)(q^30

#### Explanation:

${\left({q}^{10}\right)}^{3}$

• applying the below mentioned property to the expression.

${\left(\textcolor{b l u e}{{a}^{m}}\right)}^{n} = {a}^{m n}$

${\left({q}^{10}\right)}^{3} = {q}^{10 \cdot 3} = {q}^{30}$

=color(blue)(q^30