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Popular >

simplify (\sqrt[8]{5})^2

Solution

simplify

Solution

+1

Decimal Notation

1.49534 \dots

Solution steps

Apply radical rule:

= (5^{\frac{1}{8}})^{2}

Apply exponent rule:

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

= 5^{\frac{1}{8} \cdot 2}

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

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

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Frequently Asked Questions (FAQ)

What is (\sqrt[8]{5})^2 ?
The solution to (\sqrt[8]{5})^2 is \sqrt[4]{5}