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

The solution to \sqrt[9]{\sqrt[3]{5}} is \sqrt[27]{5}

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

simplify

Decimal Notation

1.06142 \dots

Solution steps

Apply radical rule:

= (5^{\frac{1}{3}})^{\frac{1}{9}}

Apply exponent rule:

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

= 5^{\frac{1}{3} \cdot \frac{1}{9}}

\frac{1}{3} \cdot \frac{1}{9} = \frac{1}{27}

= 5^{\frac{1}{27}}

3.7 \cdot 1 0^{- 4}

- 3.6312 e^{- 0.2136}

(1.7 \cdot 1 0^{- 4}) (5 \cdot 1 0^{- 5})

e^{- a t} cos (ω t + θ)

π π^{t} e^{π t}

What is \sqrt[9]{\sqrt[3]{5}} ?
The solution to \sqrt[9]{\sqrt[3]{5}} is \sqrt[27]{5}