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Popular >

simplify \sqrt[5]{x^b}

Solution

simplify

Solution

x^{\frac{b}{5}}

Solution steps

Apply radical rule:

= (x^{b})^{\frac{1}{5}}

Apply exponent rule:

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

assuming

a \geq 0

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

Simplify

b \frac{1}{5} : \frac{b}{5}

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

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Frequently Asked Questions (FAQ)

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