What is \sqrt[3]{sqrt(16/81)} ?

The solution to \sqrt[3]{sqrt(16/81)} is \sqrt[6]{16/81}

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simplify \sqrt[3]{sqrt(16/81)}

simplify

Decimal Notation

0.76314 \dots

Solution steps

Apply radical rule:

= ((\frac{16}{81})^{\frac{1}{2}})^{\frac{1}{3}}

Apply exponent rule:

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

= (\frac{16}{81})^{\frac{1}{2} \cdot \frac{1}{3}}

\frac{1}{2} \cdot \frac{1}{3} = \frac{1}{6}

= (\frac{16}{81})^{\frac{1}{6}}

e^{- 37.1}

3 x + 3

e^{- \frac{8}{3}}

90 e^{- 0.01 \cdot 6}

5 x e^{- 2 x}

What is \sqrt[3]{sqrt(16/81)} ?
The solution to \sqrt[3]{sqrt(16/81)} is \sqrt[6]{16/81}