What is expand x^{1/3}(x^2-7) ?

The solution to expand x^{1/3}(x^2-7) is x^{7/3}-x^{1/3}*7

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expand x^{1/3}(x^2-7)

expand

x^{\frac{1}{3}} (x^{2} - 7)

x^{\frac{7}{3}} - x^{\frac{1}{3}} \cdot 7

Solution steps

x^{\frac{1}{3}} (x^{2} - 7)

Apply the distributive law:

a (b - c) = ab - a c

x^{\frac{1}{3}} (x^{2} - 7) = x^{\frac{1}{3}} x^{2} - x^{\frac{1}{3}} \cdot 7

= x^{\frac{1}{3}} x^{2} - x^{\frac{1}{3}} \cdot 7

Simplify

x^{\frac{1}{3}} x^{2} : x^{\frac{7}{3}}

= x^{\frac{7}{3}} - x^{\frac{1}{3}} \cdot 7

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What is expand x^{1/3}(x^2-7) ?
The solution to expand x^{1/3}(x^2-7) is x^{7/3}-x^{1/3}*7