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Popular >

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

Solution

simplify

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

Solution

- \frac{6}{e ^{x}}

Solution steps

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

Apply exponent rule:

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

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

Remove parentheses:

(- a) = - a

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 6 = 6

= - \frac{6 e ^{x}}{e ^{2 x}}

Apply exponent rule:

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

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

= - \frac{6}{e ^{x}}

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Frequently Asked Questions (FAQ)

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