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Popular >

simplify \sqrt[10]{(x+1)^8}

Solution

simplify

Solution

(x + 1)^{\frac{4}{5}}

Solution steps

Apply radical rule:

= ((x + 1)^{8})^{\frac{1}{10}}

Apply exponent rule:

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

assuming

a \geq 0

= (x + 1)^{8 \cdot \frac{1}{10}}

8 \cdot \frac{1}{10} = \frac{4}{5}

= (x + 1)^{\frac{4}{5}}

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Frequently Asked Questions (FAQ)

What is \sqrt[10]{(x+1)^8} ?
The solution to \sqrt[10]{(x+1)^8} is (x+1)^{4/5}