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Popular >

simplify (\sqrt[5]{x})^8

Solution

simplify

Solution

Solution steps

Apply exponent rule:

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

Apply exponent rule:

assuming

n i s o dd or a \geq 0

Simplify

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

Apply exponent rule:

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

x x^{\frac{3}{5}} = x^{1 + \frac{3}{5}}

= x^{1 + \frac{3}{5}}

1 + \frac{3}{5} = \frac{8}{5}

= x^{\frac{8}{5}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[5]{x})^8 ?
The solution to (\sqrt[5]{x})^8 is \sqrt[5]{x^8}