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Popular >

simplify \sqrt[4]{X^Z}

Solution

simplify

Solution

X^{\frac{Z}{4}}

Solution steps

Apply radical rule:

= (X^{Z})^{\frac{1}{4}}

Apply exponent rule:

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

assuming

a \geq 0

= X^{Z \frac{1}{4}}

Simplify

Z \frac{1}{4} : \frac{Z}{4}

= X^{\frac{Z}{4}}

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Frequently Asked Questions (FAQ)

What is \sqrt[4]{X^Z} ?
The solution to \sqrt[4]{X^Z} is X^{Z/4}