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Popular >

simplify (\sqrt[4]{5^2})^3

Solution

simplify

Solution

55

+1

Decimal Notation

11.18033 \dots

Solution steps

= (5)^{3}

Apply radical rule:

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

= (5^{\frac{1}{2}})^{3}

Apply exponent rule:

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

= 5^{\frac{1}{2} \cdot 3}

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

= 5^{\frac{3}{2}}

5^{\frac{3}{2}} = 55

= 55

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Frequently Asked Questions (FAQ)

What is (\sqrt[4]{5^2})^3 ?
The solution to (\sqrt[4]{5^2})^3 is 5sqrt(5)