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Popular >

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

Solution

simplify

Solution

81

Solution steps

4^{2} = 16

Apply radical rule:

= (3^{\frac{1}{4}})^{16}

Apply exponent rule:

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

= 3^{\frac{1}{4} \cdot 16}

\frac{1}{4} \cdot 16 = 4

= 3^{4}

3^{4} = 81

= 81

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Frequently Asked Questions (FAQ)

What is (\sqrt[4]{3})^{4^2} ?
The solution to (\sqrt[4]{3})^{4^2} is 81