Algebra Examples

${(\frac{- x}{- y^{2}})}^{4}$

Step 1

Dividing two negative values results in a positive value.

${(\frac{x}{y^{2}})}^{4}$

Step 2

Apply basic rules of exponents.

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Step 2.1

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

$\frac{x^{4}}{{(y^{2})}^{4}}$

Step 2.2

Multiply the exponents in ${(y^{2})}^{4}$ .

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Step 2.2.1

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

$\frac{x^{4}}{y^{2 \cdot 4}}$

Step 2.2.2

Multiply $2$ by $4$ .

$\frac{x^{4}}{y^{8}}$