# How do you simplify (m n ^ { 3} ) ^ { 5} ( m n ^ { 5} ) ^ { 3}?

Jun 25, 2018

${m}^{8} {n}^{30}$

#### Explanation:

When an exponent is outside the parentheses, you multiply the exponent of each term by it.

${\left(m {n}^{3}\right)}^{5} {\left(m {n}^{5}\right)}^{3}$

$\left({m}^{5} {n}^{15}\right) \left({m}^{3} {n}^{15}\right)$

When two exponents with the same base are multiplied, you add the exponents.

${m}^{8} {n}^{30}$