What is (\sqrt[8]{\sqrt[3]{81^2}})^4 ?

The solution to (\sqrt[8]{\sqrt[3]{81^2}})^4 is 3\sqrt[3]{3}

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simplify (\sqrt[8]{\sqrt[3]{81^2}})^4

simplify

Decimal Notation

4.32674 \dots

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

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

= 3^{\frac{4}{3}}

e^{- 3 t} f (t)

(5 + 3) (5 + 3)

3 2^{3}

What is (\sqrt[8]{\sqrt[3]{81^2}})^4 ?
The solution to (\sqrt[8]{\sqrt[3]{81^2}})^4 is 3\sqrt[3]{3}