What is (5x^4-3x^3)/(x^5) ?

The solution to (5x^4-3x^3)/(x^5) is (5x-3)/(x^2)

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simplify (5x^4-3x^3)/(x^5)

simplify

\frac{5 x ^{4} - 3 x ^{3}}{x ^{5}}

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

Solution steps

\frac{5 x ^{4} - 3 x ^{3}}{x ^{5}}

Factor

5 x^{4} - 3 x^{3} : x^{3} (5 x - 3)

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

Apply exponent rule:

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

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

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

Cancel the common factor:

x^{3}

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

\int_{0}^{1} \frac{4 - x}{1 + x ^{2}} d x

\int \frac{sec ^{2} ( 8 x )}{tan ( 8 x ) + 5} d x

\frac{\partial}{\partial x} (1 (x - y) e^{1 y + 5 x^{2}})

\frac{\partial}{\partial x} (x cos (\frac{x}{y}))

x \to 0 lim (x^{3} - 2 x^{3} - 4 x + 7)