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Popular >

simplify e^{-3x}(e^{-x}-1)

Solution

simplify

e^{- 3 x} (e^{- x} - 1)

Solution

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

Solution steps

e^{- 3 x} (e^{- x} - 1)

Apply exponent rule:

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

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

Multiply fractions:

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

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

1 \cdot (e^{- x} - 1) = e^{- x} - 1

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

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Frequently Asked Questions (FAQ)

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