Simplify (3y^3)^3

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

Step 1

Apply the product rule to $3 y^{3}$ .

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

Step 2

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

$27 {(y^{3})}^{3}$

Step 3

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

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

$27 y^{3 \cdot 3}$

Multiply $3$ by $3$ .

$27 y^{9}$