What is expand x^{4/5}(x-5) ?

The solution to expand x^{4/5}(x-5) is x^{9/5}-x^{4/5}*5

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expand x^{4/5}(x-5)

expand

x^{\frac{4}{5}} (x - 5)

x^{\frac{9}{5}} - x^{\frac{4}{5}} \cdot 5

Solution steps

x^{\frac{4}{5}} (x - 5)

Apply the distributive law:

a (b - c) = ab - a c

x^{\frac{4}{5}} (x - 5) = x^{\frac{4}{5}} x - x^{\frac{4}{5}} \cdot 5

= x^{\frac{4}{5}} x - x^{\frac{4}{5}} \cdot 5

Simplify

x^{\frac{4}{5}} x : x^{\frac{9}{5}}

= x^{\frac{9}{5}} - x^{\frac{4}{5}} \cdot 5

x^{\frac{4}{5}} (x - 4)

\frac{x + 3}{x ( x - 9 )}

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

\frac{1}{( 1 + i 3 ) ^{4}}

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

What is expand x^{4/5}(x-5) ?
The solution to expand x^{4/5}(x-5) is x^{9/5}-x^{4/5}*5