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Popular >

simplify (\sqrt[4]{5+y^2})^3

Solution

simplify

Solution

(y^{2} + 5)^{\frac{3}{4}}

Solution steps

Apply radical rule:

= ((5 + y^{2})^{\frac{1}{4}})^{3}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= (5 + y^{2})^{\frac{1}{4} \cdot 3}

\frac{1}{4} \cdot 3 = \frac{3}{4}

= (5 + y^{2})^{\frac{3}{4}}

= (y^{2} + 5)^{\frac{3}{4}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[4]{5+y^2})^3 ?
The solution to (\sqrt[4]{5+y^2})^3 is (y^2+5)^{3/4}