Simplify (10ef^3)^5

${(10 e f^{3})}^{5}$

Step 1

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

Apply the product rule to $10 e f^{3}$ .

${(10 e)}^{5} {(f^{3})}^{5}$

Apply the product rule to $10 e$ .

$10^{5} e^{5} {(f^{3})}^{5}$

Step 2

Raise $10$ to the power of $5$ .

$100000 e^{5} {(f^{3})}^{5}$

Step 3

Multiply the exponents in ${(f^{3})}^{5}$ .

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

$100000 e^{5} f^{3 \cdot 5}$

Multiply $3$ by $5$ .

$100000 e^{5} f^{15}$