Simplify (5y^4)^3

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

Step 1

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

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

Step 2

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

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

Step 3

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

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

$125 y^{4 \cdot 3}$

Multiply $4$ by $3$ .

$125 y^{12}$