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Popular >

simplify (\sqrt[8]{5})^3

Solution

simplify

Solution

5^{\frac{3}{8}}

+1

Decimal Notation

1.82857 \dots

Solution steps

Apply radical rule:

= (5^{\frac{1}{8}})^{3}

Apply exponent rule:

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

= 5^{\frac{1}{8} \cdot 3}

\frac{1}{8} \cdot 3 = \frac{3}{8}

= 5^{\frac{3}{8}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[8]{5})^3 ?
The solution to (\sqrt[8]{5})^3 is 5^{3/8}