What is \sqrt[3]{3}^{\sqrt[3]{3}} ?

The solution to \sqrt[3]{3}^{\sqrt[3]{3}} is 3^{1/(3^{2/3)}}

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simplify \sqrt[3]{3}^{\sqrt[3]{3}}

simplify

3^{\frac{1}{3 ^{\frac{2}{3}}}}

Decimal Notation

1.69580 \dots

Solution steps

Apply radical rule:

Apply exponent rule:

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

= 3^{\frac{1}{3 ^{\frac{2}{3}}}}

= 3^{\frac{1}{3 ^{\frac{2}{3}}}}

(- 2)^{6}

(7 m^{5} n^{3}) (8 m n^{6})

e^{- \frac{1}{x + 1}}

\frac{2 x}{5} \cdot \frac{5}{2}

What is \sqrt[3]{3}^{\sqrt[3]{3}} ?
The solution to \sqrt[3]{3}^{\sqrt[3]{3}} is 3^{1/(3^{2/3)}}