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Popular >

simplify (\sqrt[6]{2^4})^3

Solution

simplify

Solution

4

Solution steps

= (2^{\frac{2}{3}})^{3}

Apply exponent rule:

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

= 2^{\frac{2}{3} \cdot 3}

\frac{2}{3} \cdot 3 = 2

= 2^{2}

2^{2} = 4

= 4

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Frequently Asked Questions (FAQ)

What is (\sqrt[6]{2^4})^3 ?
The solution to (\sqrt[6]{2^4})^3 is 4