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Popular >

simplify (\sqrt[12m]{25})^{6m}

Solution

simplify

Solution

5

Solution steps

Apply radical rule:

= (2 5^{\frac{1}{12 m}})^{6 m}

Apply exponent rule:

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

= 2 5^{\frac{1}{12 m} \cdot 6 m}

\frac{1}{12 m} \cdot 6 m = \frac{1}{2}

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

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

= 25

Factor the number:

25 = 5^{2}

= 5^{2}

Apply radical rule:

5^{2} = 5

= 5

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Frequently Asked Questions (FAQ)

What is (\sqrt[12m]{25})^{6m} ?
The solution to (\sqrt[12m]{25})^{6m} is 5