What is expand x^{2/3}(x^2-4) ?

The solution to expand x^{2/3}(x^2-4) is x^{8/3}-x^{2/3}*4

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expand x^{2/3}(x^2-4)

expand

x^{\frac{2}{3}} (x^{2} - 4)

x^{\frac{8}{3}} - x^{\frac{2}{3}} \cdot 4

Solution steps

x^{\frac{2}{3}} (x^{2} - 4)

Apply the distributive law:

a (b - c) = ab - a c

x^{\frac{2}{3}} (x^{2} - 4) = x^{\frac{2}{3}} x^{2} - x^{\frac{2}{3}} \cdot 4

= x^{\frac{2}{3}} x^{2} - x^{\frac{2}{3}} \cdot 4

Simplify

x^{\frac{2}{3}} x^{2} : x^{\frac{8}{3}}

= x^{\frac{8}{3}} - x^{\frac{2}{3}} \cdot 4

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What is expand x^{2/3}(x^2-4) ?
The solution to expand x^{2/3}(x^2-4) is x^{8/3}-x^{2/3}*4