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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

Apply rule

- (- a) = a

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 2 = 2

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

5.58 \cdot 1 0^{- 8}

0.2 m^{2} (m m^{2})

2 (e^{- 4})

\frac{e ^{- 3 x}}{e ^{2 x}}

0.716 (2.5 \cdot 1 0^{- 13})

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