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

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

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

simplify

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

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

\frac{1}{2} \cdot \frac{1}{3} = \frac{1}{6}

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

e^{t^{2}} e^{- t^{2}}

40 (2 \cdot 48. 1^{- 6}) \cdot 20

e^{- 1} (\frac{1}{4})^{4}

e^{- \frac{1}{∣ x ∣}}

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