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Popular >

simplify (\sqrt[4m]{49})^{2m}

Solution

simplify

Solution

7

Solution steps

Apply radical rule:

= (4 9^{\frac{1}{4 m}})^{2 m}

Apply exponent rule:

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

= 4 9^{\frac{1}{4 m} \cdot 2 m}

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

= 4 9^{\frac{1}{2}}

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

= 49

Factor the number:

49 = 7^{2}

= 7^{2}

Apply radical rule:

7^{2} = 7

= 7

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Frequently Asked Questions (FAQ)

What is (\sqrt[4m]{49})^{2m} ?
The solution to (\sqrt[4m]{49})^{2m} is 7