Simplify (5x^4)^3

${(5 x^{4})}^{3}$

Step 1

Apply the product rule to $5 x^{4}$ .

$5^{3} {(x^{4})}^{3}$

Step 2

Raise $5$ to the power of $3$ .

$125 {(x^{4})}^{3}$

Step 3

Multiply the exponents in ${(x^{4})}^{3}$ .

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

$125 x^{4 \cdot 3}$

Multiply $4$ by $3$ .

$125 x^{12}$