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Popular >

simplify 1/2*(-1/2)e^{-2x}dx

Solution

simplify

\frac{1}{2} \cdot (- \frac{1}{2}) e^{- 2 x} d x

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Remove parentheses:

(- a) = - a

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

Multiply fractions:

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

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

Refine

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

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Frequently Asked Questions (FAQ)

What is 1/2*(-1/2)e^{-2x}dx ?
The solution to 1/2*(-1/2)e^{-2x}dx is -(dx)/(4e^{2x)}