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Popular >

simplify (\sqrt[5]{x^7})^3

Solution

simplify

Solution

Solution steps

Simplify

Apply exponent rule:

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

= x^{3} x^{\frac{6}{5}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{3} x^{\frac{6}{5}} = x^{3 + \frac{6}{5}}

= x^{3 + \frac{6}{5}}

Join

3 + \frac{6}{5} : \frac{21}{5}

= x^{\frac{21}{5}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[5]{x^7})^3 ?
The solution to (\sqrt[5]{x^7})^3 is \sqrt[5]{x^{21}}