Pre-Algebra Examples

${(\frac{y^{2}}{x})}^{5}$

Step 1

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

$\frac{{(y^{2})}^{5}}{x^{5}}$

Step 2

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

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Step 2.1

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

$\frac{y^{2 \cdot 5}}{x^{5}}$

Step 2.2

Multiply $2$ by $5$ .

$\frac{y^{10}}{x^{5}}$