What is \sqrt[5]{sqrt((x^6)/(y^3))} ?

The solution to \sqrt[5]{sqrt((x^6)/(y^3))} is \sqrt[10]{(x^6)/(y^3)}

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simplify \sqrt[5]{sqrt((x^6)/(y^3))}

simplify

Solution steps

Apply radical rule:

= ((\frac{x ^{6}}{y ^{3}})^{\frac{1}{2}})^{\frac{1}{5}}

Apply exponent rule:

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

assuming

a \geq 0

= (\frac{x ^{6}}{y ^{3}})^{\frac{1}{2} \cdot \frac{1}{5}}

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

= (\frac{x ^{6}}{y ^{3}})^{\frac{1}{10}}

258.15 \cdot 1 0^{2} \cdot 10

t e^{- 2 t} sin (a t)

3.16 \cdot 1 0^{- 3}

77736 e^{- 0.0007 x}

e^{- x^{2}} \cdot x

What is \sqrt[5]{sqrt((x^6)/(y^3))} ?
The solution to \sqrt[5]{sqrt((x^6)/(y^3))} is \sqrt[10]{(x^6)/(y^3)}