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Popular >

simplify (\sqrt[4]{25})^2

Solution

simplify

Solution

5

Solution steps

Factor the number:

25 = 5^{2}

Apply radical rule:

= ((5^{2})^{\frac{1}{4}})^{2}

Apply exponent rule:

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

= (5^{2})^{\frac{1}{4} \cdot 2}

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

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

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

= 5^{2}

Apply radical rule:

assuming

a \geq 0

= 5

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Frequently Asked Questions (FAQ)

What is (\sqrt[4]{25})^2 ?
The solution to (\sqrt[4]{25})^2 is 5