What is \sqrt[5]{\sqrt[3]{xy}} ?

The solution to \sqrt[5]{\sqrt[3]{xy}} is \sqrt[15]{xy}

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simplify \sqrt[5]{\sqrt[3]{xy}}

simplify

Solution steps

Apply radical rule:

= ((x y)^{\frac{1}{3}})^{\frac{1}{5}}

Apply exponent rule:

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

assuming

a \geq 0

= (x y)^{\frac{1}{3} \cdot \frac{1}{5}}

\frac{1}{3} \cdot \frac{1}{5} = \frac{1}{15}

= (x y)^{\frac{1}{15}}

(3.6 x 1 0^{5}) x (2.1 x 1 0^{6})

- 3 (5 x^{2})^{2}

e^{- l n (y - 1)}

What is \sqrt[5]{\sqrt[3]{xy}} ?
The solution to \sqrt[5]{\sqrt[3]{xy}} is \sqrt[15]{xy}