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Popular >

simplify \sqrt[6]{x^{6a+b}}

Solution

simplify

Solution

x^{\frac{6 a + b}{6}}

Solution steps

Apply radical rule:

= (x^{6 a + b})^{\frac{1}{6}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{(6 a + b) \frac{1}{6}}

Simplify

(6 a + b) \frac{1}{6} : \frac{6 a + b}{6}

= x^{\frac{6 a + b}{6}}

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Frequently Asked Questions (FAQ)

What is \sqrt[6]{x^{6a+b}} ?
The solution to \sqrt[6]{x^{6a+b}} is x^{(6a+b)/6}