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

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

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

simplify

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

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

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

x + 4 \cdot x - 3

e^{- 0.0056}

1.22515 (1 0^{- 16})

0.16 \cdot 1 0^{- 3}

C e^{- (2 l n ∣ t ∣ + C)}

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