What is (-120e^{-2x})*(6e^{-2x}) ?

The solution to (-120e^{-2x})*(6e^{-2x}) is -(720)/(e^{4x)}

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simplify (-120e^{-2x})*(6e^{-2x})

simplify

(- 120 e^{- 2 x}) \cdot (6 e^{- 2 x})

- \frac{720}{e ^{4 x}}

Solution steps

(- 120 e^{- 2 x}) (6 e^{- 2 x})

Apply exponent rule:

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

= 6 \cdot \frac{1}{e ^{2 x}} (- 120 e^{- 2 x})

Remove parentheses:

(- a) = - a

= - 120 e^{- 2 x} \cdot 6 \cdot \frac{1}{e ^{2 x}}

Multiply fractions:

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

= - \frac{1 \cdot 120 e ^{- 2 x} \cdot 6}{e ^{2 x}}

Multiply the numbers:

1 \cdot 120 \cdot 6 = 720

= - \frac{720 e ^{- 2 x}}{e ^{2 x}}

Apply exponent rule:

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

\frac{e ^{- 2 x}}{e ^{2 x}} = e^{- 2 x - 2 x} = e^{- 4 x}

= - \frac{720}{e ^{4 x}}

x - 5

e^{- (0 + 0.5)}

3 e^{4 t} \cdot 12 e^{4 t}

3 \cdot e^{- 5 x}

What is (-120e^{-2x})*(6e^{-2x}) ?
The solution to (-120e^{-2x})*(6e^{-2x}) is -(720)/(e^{4x)}