What is \sqrt[4]{\sqrt[3]{x^{15}}} ?

The solution to \sqrt[4]{\sqrt[3]{x^{15}}} is x\sqrt[4]{x}

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simplify \sqrt[4]{\sqrt[3]{x^{15}}}

simplify

Solution steps

Simplify

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{4 + 1} = x^{4} x

Apply radical rule:

assuming

a \geq 0, b \geq 0

Apply radical rule:

assuming

a \geq 0

\frac{- 98}{- 2}

\frac{1}{2} \cdot (t^{2} + 1)^{- \frac{1}{2}} (2 t)

(e^{- x}) (- e^{- x})

9 e^{- 6^{2}}

What is \sqrt[4]{\sqrt[3]{x^{15}}} ?
The solution to \sqrt[4]{\sqrt[3]{x^{15}}} is x\sqrt[4]{x}