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Popular >

simplify \sqrt[5]{(xy)^4}

Solution

simplify

Solution

(x y)^{\frac{4}{5}}

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

= (x y)^{\frac{4}{5}}

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Frequently Asked Questions (FAQ)

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