What is \sqrt[3]{\sqrt[3]{\sqrt[3]{729}}} ?

The solution to \sqrt[3]{\sqrt[3]{\sqrt[3]{729}}} is \sqrt[27]{729}

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simplify \sqrt[3]{\sqrt[3]{\sqrt[3]{729}}}

simplify

Decimal Notation

1.27651 \dots

Solution steps

Apply radical rule:

= (72 9^{\frac{1}{9}})^{\frac{1}{3}}

Apply exponent rule:

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

= 72 9^{\frac{1}{9} \cdot \frac{1}{3}}

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

= 72 9^{\frac{1}{27}}

5. 1^{- 3} C

\frac{1}{2} e^{- 3 u} d u

150 e^{- 0.08 (\frac{5}{12})}

(2 π (\frac{m + p h C}{d C g}))^{- 1}

(4 - 1.5 t) e^{- 0.5 t}

What is \sqrt[3]{\sqrt[3]{\sqrt[3]{729}}} ?
The solution to \sqrt[3]{\sqrt[3]{\sqrt[3]{729}}} is \sqrt[27]{729}