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Popular >

simplify \sqrt[7]{x^{7a+b}}

Solution

simplify

Solution

x^{\frac{7 a + b}{7}}

Solution steps

Apply radical rule:

= (x^{7 a + b})^{\frac{1}{7}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{(7 a + b) \frac{1}{7}}

Simplify

(7 a + b) \frac{1}{7} : \frac{7 a + b}{7}

= x^{\frac{7 a + b}{7}}

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Frequently Asked Questions (FAQ)

What is \sqrt[7]{x^{7a+b}} ?
The solution to \sqrt[7]{x^{7a+b}} is x^{(7a+b)/7}