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Popular >

simplify \sqrt[7]{(x+5)^6}

Solution

simplify

Solution

(x + 5)^{\frac{6}{7}}

Solution steps

Apply radical rule:

= ((x + 5)^{6})^{\frac{1}{7}}

Apply exponent rule:

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

assuming

a \geq 0

= (x + 5)^{6 \cdot \frac{1}{7}}

6 \cdot \frac{1}{7} = \frac{6}{7}

= (x + 5)^{\frac{6}{7}}

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Frequently Asked Questions (FAQ)

What is \sqrt[7]{(x+5)^6} ?
The solution to \sqrt[7]{(x+5)^6} is (x+5)^{6/7}