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Popular >

simplify (\sqrt[5]{x})^{1/2}

Solution

simplify

Solution

x^{\frac{1}{10}}

Solution steps

Apply exponent rule:

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

assuming

a \geq 0

= x^{\frac{1}{5} \cdot \frac{1}{2}}

\frac{1}{5} \cdot \frac{1}{2} = \frac{1}{10}

= x^{\frac{1}{10}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[5]{x})^{1/2} ?
The solution to (\sqrt[5]{x})^{1/2} is x^{1/10}