What is (\sqrt[\sqrt[\sqrt[4]{5}]{3}]{x})^{120} ?

The solution to (\sqrt[\sqrt[\sqrt[4]{5}]{3}]{x})^{120} is x^{40*3^{(\sqrt[4]{5}-1)/(\sqrt[4]{5)}}}

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simplify (\sqrt[\sqrt[\sqrt[4]{5}]{3}]{x})^{120}

simplify

Solution steps

Apply radical rule:

Apply exponent rule:

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

\frac{d}{d y} ((x) (4 x^{2} y^{2}))

e^{- 10 \cdot (0.05 + 0.03 + 0.3)}

90 e^{- 0.08 \cdot \frac{1}{2}}

e^{- y} \cdot e^{- \frac{x}{y}}

What is (\sqrt[\sqrt[\sqrt[4]{5}]{3}]{x})^{120} ?
The solution to (\sqrt[\sqrt[\sqrt[4]{5}]{3}]{x})^{120} is x^{40*3^{(\sqrt[4]{5}-1)/(\sqrt[4]{5)}}}