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Popular >

simplify \sqrt[5]{x^{5a+b}}

Solution

simplify

Solution

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

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

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

Simplify

(5 a + b) \frac{1}{5} : \frac{5 a + b}{5}

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

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Frequently Asked Questions (FAQ)

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