en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

- \frac{1}{2 e ^{\frac{x}{2}}}

Solution steps

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

Apply exponent rule:

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

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

Remove parentheses:

(- a) = - a

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 1 = 1

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

Popular Examples

simplify 2(1.78*10^{-3})simplify

2 (1.78 \cdot 1 0^{- 3})

simplify e^{(-0.88)}simplify

e^{(- 0.88)}

simplify e^{-12x}simplify

e^{- 12 x}

simplify (5a^2)(2ab)simplify

(5 a^{2}) (2 ab)

simplify (2x)(2y^3)(xy)simplify

(2 x) (2 y^{3}) (x y)

Frequently Asked Questions (FAQ)

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