What is \sqrt[3]{\sqrt[4]{\sqrt[5]{9}}} ?

The solution to \sqrt[3]{\sqrt[4]{\sqrt[5]{9}}} is \sqrt[30]{3}

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simplify \sqrt[3]{\sqrt[4]{\sqrt[5]{9}}}

simplify

Decimal Notation

1.03729 \dots

Solution steps

Apply radical rule:

= (9^{\frac{1}{20}})^{\frac{1}{3}}

Apply exponent rule:

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

= 9^{\frac{1}{20} \cdot \frac{1}{3}}

\frac{1}{20} \cdot \frac{1}{3} = \frac{1}{60}

= 9^{\frac{1}{60}}

10 f ee t^{30} s q f t

2 e^{- x} (- x)

2 π \cdot 120000000000 \cdot 1 0^{- 12}

e^{- e^{- t}}

What is \sqrt[3]{\sqrt[4]{\sqrt[5]{9}}} ?
The solution to \sqrt[3]{\sqrt[4]{\sqrt[5]{9}}} is \sqrt[30]{3}