What is simplify-e^{-st}*(-e^{-st}) ?

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

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simplify-e^{-st}*(-e^{-st})

simplify

- e^{- s t} \cdot (- e^{- s t})

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

Solution steps

- e^{- s t} (- e^{- s t})

Apply exponent rule:

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

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

Apply rule

- (- a) = a

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

Multiply fractions:

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

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

Multiply:

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

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

Apply exponent rule:

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

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

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

e^{- x} cos (2 t)

3.4 3^{- 31} \cdot 3.14

\frac{d}{d x} ((1 + y)^{x})

(95) (25)

6 \cdot 3.13 \cdot 1 0^{- 2}

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