What is expand x^{5/3}(x^{-1}+x^{7/2}) ?

The solution to expand x^{5/3}(x^{-1}+x^{7/2}) is x^{2/3}+x^{31/6}

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expand x^{5/3}(x^{-1}+x^{7/2})

expand

x^{\frac{5}{3}} (x^{- 1} + x^{\frac{7}{2}})

x^{\frac{2}{3}} + x^{\frac{31}{6}}

Solution steps

x^{\frac{5}{3}} (x^{- 1} + x^{\frac{7}{2}})

Apply the distributive law:

a (b + c) = ab + a c

x^{\frac{5}{3}} (x^{- 1} + x^{\frac{7}{2}}) = x^{\frac{5}{3}} x^{- 1} + x^{\frac{5}{3}} x^{\frac{7}{2}}

= x^{\frac{5}{3}} x^{- 1} + x^{\frac{5}{3}} x^{\frac{7}{2}}

x^{\frac{5}{3}} x^{- 1} = x^{\frac{2}{3}}

x^{\frac{5}{3}} x^{\frac{7}{2}} = x^{\frac{31}{6}}

= x^{\frac{2}{3}} + x^{\frac{31}{6}}

x^{\frac{1}{4}} (2 x^{\frac{3}{4}} - x^{\frac{1}{4}})

(2 x - y) d x + (4 x - 2 y + 3) d y

e^{4} t (t - cos (t))

What is expand x^{5/3}(x^{-1}+x^{7/2}) ?
The solution to expand x^{5/3}(x^{-1}+x^{7/2}) is x^{2/3}+x^{31/6}