Find the Product (y^2)^5*y^8

${(y^{2})}^{5} \cdot y^{8}$

Step 1

Multiply the exponents in ${(y^{2})}^{5}$ .

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

$y^{2 \cdot 5} \cdot y^{8}$

Multiply $2$ by $5$ .

$y^{10} \cdot y^{8}$

Step 2

Multiply $y^{10}$ by $y^{8}$ by adding the exponents.

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

$y^{10 + 8}$

Add $10$ and $8$ .

$y^{18}$