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Popular >

simplify \sqrt[64]{(xy)^8}

Solution

simplify

Solution

Solution steps

Apply radical rule:

= ((x y)^{8})^{\frac{1}{64}}

Apply exponent rule:

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

assuming

a \geq 0

= (x y)^{8 \cdot \frac{1}{64}}

8 \cdot \frac{1}{64} = \frac{1}{8}

= (x y)^{\frac{1}{8}}

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Frequently Asked Questions (FAQ)

What is \sqrt[64]{(xy)^8} ?
The solution to \sqrt[64]{(xy)^8} is \sqrt[8]{xy}