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Popular >

simplify (\sqrt[4n]{(7)})^{8n}

Solution

simplify

Solution

49

Solution steps

Apply radical rule:

= (7^{\frac{1}{4 n}})^{8 n}

Apply exponent rule:

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

= 7^{\frac{1}{4 n} \cdot 8 n}

\frac{1}{4 n} \cdot 8 n = 2

= 7^{2}

7^{2} = 49

= 49

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Frequently Asked Questions (FAQ)

What is (\sqrt[4n]{(7)})^{8n} ?
The solution to (\sqrt[4n]{(7)})^{8n} is 49