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Popular >

simplify (\sqrt[8]{16})^2

Solution

simplify

Solution

2

Solution steps

Factor the number:

16 = 2^{4}

Apply radical rule:

= ((2^{4})^{\frac{1}{8}})^{2}

Apply exponent rule:

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

= (2^{4})^{\frac{1}{8} \cdot 2}

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

= (2^{4})^{\frac{1}{4}}

Apply radical rule:

assuming

a \geq 0

= 2

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Frequently Asked Questions (FAQ)

What is (\sqrt[8]{16})^2 ?
The solution to (\sqrt[8]{16})^2 is 2