en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Apply rule

- (- a) = a

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

Join

- x + \frac{x}{2} : - \frac{x}{2}

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

Popular Examples

simplify 40*10^{-3}e^{-((62.5)/(12.5*10^{-3)})}simplify

40 \cdot 1 0^{- 3} e^{- (\frac{62.5}{12.5 \cdot 1 0 ^{- 3}})}

simplify 1.398*10^{-5}simplify

1.398 \cdot 1 0^{- 5}

simplify 2*\sqrt[n]{2^{n-4}}*\sqrt[n]{4^{n+2}}simplify

simplify 5.67*10^{-8}*5344^4 simplify

5.67 \cdot 1 0^{- 8} \cdot 534 4^{4}

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

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

Frequently Asked Questions (FAQ)

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