What is \sqrt[6]{sqrt(\sqrt[3]{9)}} ?

The solution to \sqrt[6]{sqrt(\sqrt[3]{9)}} is \sqrt[18]{3}

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simplify \sqrt[6]{sqrt(\sqrt[3]{9)}}

simplify

Decimal Notation

1.06293 \dots

Solution steps

Apply radical rule:

= (9^{\frac{1}{6}})^{\frac{1}{6}}

Apply exponent rule:

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

= 9^{\frac{1}{6} \cdot \frac{1}{6}}

\frac{1}{6} \cdot \frac{1}{6} = \frac{1}{36}

= 9^{\frac{1}{36}}

3.1 \cdot 1 0^{- 2} (5)

(14.4) (104)^{- 0.718}

l \cdot 2

0.0073 \cdot 1 0^{- 3}

1.0100100000000 \dots \cdot 1 0^{- 11}

What is \sqrt[6]{sqrt(\sqrt[3]{9)}} ?
The solution to \sqrt[6]{sqrt(\sqrt[3]{9)}} is \sqrt[18]{3}