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Popular >

simplify \sqrt[ 5/4 ]{x^2}

Solution

simplify

Solution

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

Solution steps

Apply radical rule:

= (x^{2})^{\frac{1}{\frac{5}{4}}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{2 \cdot \frac{1}{\frac{5}{4}}}

2 \cdot \frac{1}{\frac{5}{4}} = \frac{8}{5}

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

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Frequently Asked Questions (FAQ)

What is \sqrt[ 5/4 ]{x^2} ?
The solution to \sqrt[ 5/4 ]{x^2} is x^{8/5}