How do you simplify (2a^ 3b)^ 5?

Oct 6, 2015

The answer is $32 {a}^{15} {b}^{5}$.

Explanation:

${\left(2 {a}^{3} b\right)}^{5}$

Apply the exponent rule ${\left({a}^{m}\right)}^{n} = {a}^{m \cdot n}$ .

$\left({2}^{1 \cdot 5} {a}^{3 \cdot 5} {b}^{1 \cdot 5}\right) =$

${2}^{5} {a}^{15} {b}^{5} =$

Simplify ${2}^{5}$ to $32$.

$32 {a}^{15} {b}^{5}$