What is 1/(s^2)*(-s)e^{-st} ?

The solution to 1/(s^2)*(-s)e^{-st} is -1/(e^{st)s}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/(s^2)*(-s)e^{-st}

simplify

\frac{1}{s ^{2}} \cdot (- s) e^{- s t}

- \frac{1}{e ^{s t} s}

Solution steps

\frac{1}{s ^{2}} (- s) e^{- s t}

Apply exponent rule:

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

= \frac{1}{e ^{s t}} \cdot \frac{1}{s ^{2}} (- s)

Remove parentheses:

(- a) = - a

= - \frac{1}{s ^{2}} s \frac{1}{e ^{s t}}

Multiply fractions:

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

= - \frac{1 \cdot 1 \cdot s}{s ^{2} e ^{s t}}

Multiply:

1 \cdot 1 \cdot s = s

= - \frac{s}{e ^{s t} s ^{2}}

Cancel the common factor:

s

= - \frac{1}{e ^{s t} s}

(13 x^{2} y) (5 x y^{12})

(x^{2} - 4) (y^{2} - 9)

7^{8} 0. 7^{- 3}

(2 y^{2} + 8) (2 y^{2} + 8)

4 e^{- 3 x}

What is 1/(s^2)*(-s)e^{-st} ?
The solution to 1/(s^2)*(-s)e^{-st} is -1/(e^{st)s}