What is \sqrt[3]{\sqrt[4]{xy}} ?

The solution to \sqrt[3]{\sqrt[4]{xy}} is \sqrt[12]{xy}

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simplify \sqrt[3]{\sqrt[4]{xy}}

simplify

Solution steps

Apply radical rule:

= ((x y)^{\frac{1}{4}})^{\frac{1}{3}}

Apply exponent rule:

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

assuming

a \geq 0

= (x y)^{\frac{1}{4} \cdot \frac{1}{3}}

\frac{1}{4} \cdot \frac{1}{3} = \frac{1}{12}

= (x y)^{\frac{1}{12}}

x + 5 5 - x

(x - 2 a)^{2} \cdot x^{2}

8 (1.3)^{- (10)}

e^{- 7.494}

What is \sqrt[3]{\sqrt[4]{xy}} ?
The solution to \sqrt[3]{\sqrt[4]{xy}} is \sqrt[12]{xy}