What is (5x^3-2x^2)/(x^5) ?

The solution to (5x^3-2x^2)/(x^5) is (5x-2)/(x^3)

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simplify (5x^3-2x^2)/(x^5)

simplify

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

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

Solution steps

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

Factor

5 x^{3} - 2 x^{2} : x^{2} (5 x - 2)

= \frac{x ^{2} ( 5 x - 2 )}{x ^{5}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{5} = x^{2} x^{3}

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

Cancel the common factor:

x^{2}

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

x^{3} y - 49 x y

\frac{12}{16} - \frac{2}{5}

\frac{x ^{2} + 2 x - 3}{x ^{2} - 3 x + 2}

\frac{12 x}{x}

48 (- 4)^{- 3}