What is sqrt(\sqrt[3]{\sqrt[9]{x^{14)}}} ?

The solution to sqrt(\sqrt[3]{\sqrt[9]{x^{14)}}} is \sqrt[6]{x^{14/9}}

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simplify sqrt(\sqrt[3]{\sqrt[9]{x^{14)}}}

simplify

Solution steps

Apply radical rule:

= ((x^{\frac{14}{9}})^{\frac{1}{3}})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= (x^{\frac{14}{9}})^{\frac{1}{3} \cdot \frac{1}{2}}

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

= (x^{\frac{14}{9}})^{\frac{1}{6}}

200 (400 e^{- 0.5 (200)})

100^{2}

e^{- 3 e^{t}}

4 π (4)^{2} \cdot 3

What is sqrt(\sqrt[3]{\sqrt[9]{x^{14)}}} ?
The solution to sqrt(\sqrt[3]{\sqrt[9]{x^{14)}}} is \sqrt[6]{x^{14/9}}