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Popular >

simplify \sqrt[5]{5a^2b}^3

Solution

simplify

Solution

5^{\frac{3}{5}} (a^{2} b)^{\frac{3}{5}}

Solution steps

Apply radical rule:

= ((5 a^{2} b)^{\frac{1}{5}})^{3}

Apply exponent rule:

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

= (5 a^{2} b)^{\frac{1}{5} \cdot 3}

\frac{1}{5} \cdot 3 = \frac{3}{5}

= (5 a^{2} b)^{\frac{3}{5}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= 5^{\frac{3}{5}} (a^{2} b)^{\frac{3}{5}}

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Frequently Asked Questions (FAQ)

What is \sqrt[5]{5a^2b}^3 ?
The solution to \sqrt[5]{5a^2b}^3 is 5^{3/5}(a^2b)^{3/5}