What is expand [g(e^x-2x^3)]^{1/2} ?

The solution to expand [g(e^x-2x^3)]^{1/2} is g^{1/2}(-2x^3+e^x)^{1/2}

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expand [g(e^x-2x^3)]^{1/2}

expand

[g (e^{x} - 2 x^{3})]^{\frac{1}{2}}

g^{\frac{1}{2}} (- 2 x^{3} + e^{x})^{\frac{1}{2}}

Solution steps

[g (e^{x} - 2 x^{3})]^{\frac{1}{2}}

Apply exponent rule:

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

(g (e^{x} - 2 x^{3}))^{\frac{1}{2}} = g^{\frac{1}{2}} (e^{x} - 2 x^{3})^{\frac{1}{2}}

= g^{\frac{1}{2}} (- 2 x^{3} + e^{x})^{\frac{1}{2}}

(1 + 2 i)^{6}

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

x^{\frac{1}{5}} (x + 6)

(x - 5)^{2}

(2 x y - tan (y)) d x + (x^{2} - x sec^{2} (y)) d y

What is expand [g(e^x-2x^3)]^{1/2} ?
The solution to expand [g(e^x-2x^3)]^{1/2} is g^{1/2}(-2x^3+e^x)^{1/2}