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Popular >

simplify e^{-x}(-e^x+c)

Solution

simplify

e^{- x} (- e^{x} + c)

Solution

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

Solution steps

e^{- x} (- e^{x} + c)

Apply exponent rule:

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

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

Multiply fractions:

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

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

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

= \frac{- e ^{x} + c}{e ^{x}}

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Frequently Asked Questions (FAQ)

What is e^{-x}(-e^x+c) ?
The solution to e^{-x}(-e^x+c) is (c-e^x)/(e^x)