What is e^{-2x}(-sin(5x)(5)) ?

The solution to e^{-2x}(-sin(5x)(5)) is -(5sin(5x))/(e^{2x)}

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simplify e^{-2x}(-sin(5x)(5))

simplify

e^{- 2 x} (- sin (5 x) (5))

- \frac{5 sin ( 5 x )}{e ^{2 x}}

Solution steps

e^{- 2 x} (- sin (5 x) (5))

Apply exponent rule:

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

= \frac{1}{e ^{2 x}} (- 5 sin (5 x))

Remove parentheses:

(- a) = - a

= - \frac{1}{e ^{2 x}} sin (5 x) \cdot 5

Multiply fractions:

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

= - \frac{1 \cdot sin ( 5 x ) \cdot 5}{e ^{2 x}}

Multiply the numbers:

1 \cdot 5 = 5

= - \frac{5 sin ( 5 x )}{e ^{2 x}}

0.2201326 \cdot 1 0^{- 27}

(0.1 (- 10)^{- 2, 9})

\frac{5 y}{2}

0.1 x 1 0^{- 4}

0.1 x 1 0^{- 5}

What is e^{-2x}(-sin(5x)(5)) ?
The solution to e^{-2x}(-sin(5x)(5)) is -(5sin(5x))/(e^{2x)}