What is \sqrt[3]{\sqrt[4]{x^2y^3}} ?

The solution to \sqrt[3]{\sqrt[4]{x^2y^3}} is \sqrt[12]{x^2y^3}

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simplify \sqrt[3]{\sqrt[4]{x^2y^3}}

simplify

Solution steps

Apply radical rule:

= ((x^{2} y^{3})^{\frac{1}{4}})^{\frac{1}{3}}

Apply exponent rule:

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

assuming

a \geq 0

= (x^{2} y^{3})^{\frac{1}{4} \cdot \frac{1}{3}}

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

= (x^{2} y^{3})^{\frac{1}{12}}

\frac{3}{5} e^{- 1}

(a + b + c) (a^{3} b^{3} c^{3})

a^{6} \cdot b^{6}

\frac{- 30}{- 3}

0.87 \cdot 1 0^{- 6}

What is \sqrt[3]{\sqrt[4]{x^2y^3}} ?
The solution to \sqrt[3]{\sqrt[4]{x^2y^3}} is \sqrt[12]{x^2y^3}