Find the Product (y^3)^2*y^7

${(y^{3})}^{2} \cdot y^{7}$

Multiply the exponents in ${(y^{3})}^{2}$ .

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

$y^{3 \cdot 2} \cdot y^{7}$

Multiply $3$ by $2$ .

$y^{6} \cdot y^{7}$

Multiply $y^{6}$ by $y^{7}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$y^{6 + 7}$

Add $6$ and $7$ .

$y^{13}$