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Popular >

simplify \sqrt[10]{(x+4)^4}

Solution

simplify

Solution

(x + 4)^{\frac{2}{5}}

Solution steps

Apply radical rule:

= ((x + 4)^{4})^{\frac{1}{10}}

Apply exponent rule:

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

assuming

a \geq 0

= (x + 4)^{4 \cdot \frac{1}{10}}

4 \cdot \frac{1}{10} = \frac{2}{5}

= (x + 4)^{\frac{2}{5}}

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Frequently Asked Questions (FAQ)

What is \sqrt[10]{(x+4)^4} ?
The solution to \sqrt[10]{(x+4)^4} is (x+4)^{2/5}