Algebra Examples

${(\sqrt[4]{- y})}^{4}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[4]{- y}$ as ${(- y)}^{\frac{1}{4}}$ .

${({(- y)}^{\frac{1}{4}})}^{4}$

Step 2

Multiply the exponents in ${({(- y)}^{\frac{1}{4}})}^{4}$ .

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Step 2.1

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

${(- y)}^{\frac{1}{4} \cdot 4}$

Step 2.2

Cancel the common factor of $4$ .

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Step 2.2.1

Cancel the common factor.

${(- y)}^{\frac{1}{4} \cdot 4}$

Step 2.2.2

Rewrite the expression.

${(- y)}^{1}$

Step 3

Simplify.

$- y$