en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Apply rule

a^{1} = a

e^{1} = e

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 1 = 1

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

2 e e^{x} = 2 e^{1 + x}

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

Popular Examples

simplify (s+4)^2*(s+5)^2 simplify

(s + 4)^{2} \cdot (s + 5)^{2}

simplify (5e^{2-t}+3)e^{-j^2pint}simplify

(5 e^{2 - t} + 3) e^{- j^{2} πn t}

exponent sqrt(d^4)radical to exponent

d^{4}

simplify 7^{40}0.7^{-40}simplify

7^{40} 0. 7^{- 40}

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

e^{- s i n^{- 2} (\frac{x}{2})}

Frequently Asked Questions (FAQ)

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