Simplify ((y^2)/(z^4))^5

${(\frac{y^{2}}{z^{4}})}^{5}$

Step 1

Apply the product rule to $\frac{y^{2}}{z^{4}}$ .

$\frac{{(y^{2})}^{5}}{{(z^{4})}^{5}}$

Step 2

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

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

$\frac{y^{2 \cdot 5}}{{(z^{4})}^{5}}$

Multiply $2$ by $5$ .

$\frac{y^{10}}{{(z^{4})}^{5}}$

Step 3

Multiply the exponents in ${(z^{4})}^{5}$ .

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

$\frac{y^{10}}{z^{4 \cdot 5}}$

Multiply $4$ by $5$ .

$\frac{y^{10}}{z^{20}}$