What is \sqrt[3]{(y/x+4)^2} ?

The solution to \sqrt[3]{(y/x+4)^2} is ((y+4x)/x)^{2/3}

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simplify \sqrt[3]{(y/x+4)^2}

simplify

(\frac{y + 4 x}{x})^{\frac{2}{3}}

Solution steps

Apply radical rule:

= ((\frac{y}{x} + 4)^{2})^{\frac{1}{3}}

Apply exponent rule:

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

assuming

a \geq 0

= (\frac{y}{x} + 4)^{2 \cdot \frac{1}{3}}

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

= (\frac{y}{x} + 4)^{\frac{2}{3}}

Join

\frac{y}{x} + 4 : \frac{y + 4 x}{x}

= (\frac{y + 4 x}{x})^{\frac{2}{3}}

(3.1 \cdot 1 0^{- 9}) (12)

2 (993000) (9.7 \cdot 1 0^{- 9}) ln (1 + \frac{2}{10})

e^{- 2} \cdot e^{4}

1.334 \cdot 1 0^{- 9} (\frac{0.4}{0.5})

(7 ab c) (2 a^{3} b c)

What is \sqrt[3]{(y/x+4)^2} ?
The solution to \sqrt[3]{(y/x+4)^2} is ((y+4x)/x)^{2/3}