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

The solution to simplify-e^{-x}*(-sin(x)) is (sin(x))/(e^x)

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simplify-e^{-x}*(-sin(x))

simplify

- e^{- x} \cdot (- sin (x))

\frac{sin ( x )}{e ^{x}}

Solution steps

- e^{- x} (- sin (x))

Apply exponent rule:

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

= - \frac{1}{e ^{x}} (- sin (x))

Apply rule

- (- a) = a

= \frac{1}{e ^{x}} sin (x)

Multiply fractions:

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

= \frac{1 \cdot sin ( x )}{e ^{x}}

Multiply:

1 \cdot sin (x) = sin (x)

= \frac{sin ( x )}{e ^{x}}

6.75 \cdot 1 0^{- 6}

(e^{l n (n)})^{2}

4.51 c m x^{3.6666} c m

6.75 \cdot 1 0^{- 3}

What is simplify-e^{-x}*(-sin(x)) ?
The solution to simplify-e^{-x}*(-sin(x)) is (sin(x))/(e^x)