simplify 5x^3e^{-x}

Solution

simplify

5 x^{3} e^{- x}

\frac{5 x ^{3}}{e ^{x}}

Solution steps

5 x^{3} e^{- x}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= 5 \cdot \frac{1}{e ^{x}} x^{3}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 5 x ^{3}}{e ^{x}}

Multiply the numbers:

1 \cdot 5 = 5

= \frac{5 x ^{3}}{e ^{x}}

- 12000 (\frac{1 - ( 1 + 0.0125 )}{0.0125})^{- 60}

3 π

\frac{π}{180} \cdot (1 0^{13})^{2} \cdot (180 - 36)

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