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Popular >

simplify e^{-4x}(-e^{3x})

Solution

simplify

e^{- 4 x} (- e^{3 x})

Solution

- \frac{1}{e ^{x}}

Solution steps

e^{- 4 x} (- e^{3 x})

Apply exponent rule:

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

= \frac{1}{e ^{4 x}} (- e^{3 x})

Remove parentheses:

(- a) = - a

= - \frac{1}{e ^{4 x}} e^{3 x}

Multiply fractions:

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

= - \frac{1 \cdot e ^{3 x}}{e ^{4 x}}

Multiply:

1 \cdot e^{3 x} = e^{3 x}

= - \frac{e ^{3 x}}{e ^{4 x}}

Apply exponent rule:

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

\frac{e ^{3 x}}{e ^{4 x}} = e^{3 x - 4 x} = e^{- x}

= - \frac{1}{e ^{x}}

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Frequently Asked Questions (FAQ)

What is e^{-4x}(-e^{3x}) ?
The solution to e^{-4x}(-e^{3x}) is -1/(e^x)