Simplify (e^2f)^5

${(e^{2} f)}^{5}$

Step 1

Apply the product rule to $e^{2} f$ .

${(e^{2})}^{5} f^{5}$

Step 2

Multiply the exponents in ${(e^{2})}^{5}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$e^{2 \cdot 5} f^{5}$

Multiply $2$ by $5$ .

$e^{10} f^{5}$