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Popular >

simplify (\sqrt[6]{5})^3

Solution

simplify

Solution

5

+1

Decimal Notation

2.23606 \dots

Solution steps

Apply radical rule:

= (5^{\frac{1}{6}})^{3}

Apply exponent rule:

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

= 5^{\frac{1}{6} \cdot 3}

\frac{1}{6} \cdot 3 = \frac{1}{2}

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

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

= 5

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Frequently Asked Questions (FAQ)

What is (\sqrt[6]{5})^3 ?
The solution to (\sqrt[6]{5})^3 is square root of 5