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Popular >

simplify \sqrt[5]{(a+b)^4}

Solution

simplify

Solution

(a + b)^{\frac{4}{5}}

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

= (a + b)^{4 \cdot \frac{1}{5}}

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

= (a + b)^{\frac{4}{5}}

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Frequently Asked Questions (FAQ)

What is \sqrt[5]{(a+b)^4} ?
The solution to \sqrt[5]{(a+b)^4} is (a+b)^{4/5}