What is (\sqrt[3]{5x^2+y^2+z})^2 ?

The solution to (\sqrt[3]{5x^2+y^2+z})^2 is (5x^2+y^2+z)^{2/3}

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simplify (\sqrt[3]{5x^2+y^2+z})^2

simplify

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

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

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

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

(67) (32)

e^{s l} (e^{- \frac{l}{50}})

(12 e^{- 0.2}) 0.1

5.55 x 1 0^{- 3}

What is (\sqrt[3]{5x^2+y^2+z})^2 ?
The solution to (\sqrt[3]{5x^2+y^2+z})^2 is (5x^2+y^2+z)^{2/3}