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Popular >

simplify (\sqrt[8]{64})^4

Solution

simplify

Solution

8

Solution steps

Apply radical rule:

= (6 4^{\frac{1}{8}})^{4}

Apply exponent rule:

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

= 6 4^{\frac{1}{8} \cdot 4}

\frac{1}{8} \cdot 4 = \frac{1}{2}

= 6 4^{\frac{1}{2}}

a^{\frac{1}{2}} = a

= 64

Factor the number:

64 = 8^{2}

= 8^{2}

Apply radical rule:

8^{2} = 8

= 8

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Frequently Asked Questions (FAQ)

What is (\sqrt[8]{64})^4 ?
The solution to (\sqrt[8]{64})^4 is 8