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Popular >

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

Solution

simplify

Solution

Solution steps

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

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

Apply exponent rule:

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

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

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

\frac{1}{2} + \frac{1}{5} = \frac{7}{10}

= x^{\frac{7}{10}}

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Frequently Asked Questions (FAQ)

What is sqrt(x)\sqrt[5]{x} ?
The solution to sqrt(x)\sqrt[5]{x} is \sqrt[10]{x^7}