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}}

\frac{d ^{4}}{d x ^{4}} (9 e^{x^{2}})

100

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