What is sqrt(\sqrt[5]{x^2y^2)} ?

The solution to sqrt(\sqrt[5]{x^2y^2)} is \sqrt[10]{x^2y^2}

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simplify sqrt(\sqrt[5]{x^2y^2)}

simplify

Solution steps

Apply radical rule:

= ((x^{2} y^{2})^{\frac{1}{5}})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= (x^{2} y^{2})^{\frac{1}{5} \cdot \frac{1}{2}}

\frac{1}{5} \cdot \frac{1}{2} = \frac{1}{10}

= (x^{2} y^{2})^{\frac{1}{10}}

2 π (2 a + \frac{8 a}{3 π}) (\frac{1}{4} π a^{2})

2 (200 e^{- \frac{463}{100}}) 40.75

e e^{0}

e e^{1}

(r^{2} sin^{2} (θ)) (2 r^{2} sin (θ))

What is sqrt(\sqrt[5]{x^2y^2)} ?
The solution to sqrt(\sqrt[5]{x^2y^2)} is \sqrt[10]{x^2y^2}