Algebra Examples

${(\sqrt[6]{5 x y^{2}})}^{5}$

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[6]{5 x y^{2}}$ as ${(5 x y^{2})}^{\frac{1}{6}}$ .

${({(5 x y^{2})}^{\frac{1}{6}})}^{5}$

Multiply the exponents in ${({(5 x y^{2})}^{\frac{1}{6}})}^{5}$ .

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

${(5 x y^{2})}^{\frac{1}{6} \cdot 5}$

Combine $\frac{1}{6}$ and $5$ .

${(5 x y^{2})}^{\frac{5}{6}}$