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

The solution to sqrt(\sqrt[3]{3\sqrt[3]{3)}} is 3^{2/9}

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simplify sqrt(\sqrt[3]{3\sqrt[3]{3)}}

simplify

3^{\frac{2}{9}}

Decimal Notation

1.27651 \dots

Solution steps

Apply radical rule:

Apply exponent rule:

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

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

Apply radical rule:

assuming

a \geq 0, b \geq 0

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

= 3^{\frac{1}{6} + \frac{1}{18}}

Join

\frac{1}{6} + \frac{1}{18} : \frac{2}{9}

= 3^{\frac{2}{9}}

(x^{2} yz) (x^{2} y^{5})

e^{- x n}

\frac{816}{0.873} \cdot 1 0^{- 3}

2.4 x 1 0^{- 14}

What is sqrt(\sqrt[3]{3\sqrt[3]{3)}} ?
The solution to sqrt(\sqrt[3]{3\sqrt[3]{3)}} is 3^{2/9}