en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{1/2}*e^{-1/2}

Solution

simplify

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

Solution

1

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Cancel the common factor:

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

= 1

Popular Examples

simplify (1-x^2)^2x^2 simplify

(1 - x^{2})^{2} x^{2}

simplify 3^{2x+3}*(e^{x-1})^3 simplify

3^{2 x + 3} \cdot (e^{x - 1})^{3}

simplify x^2y^2cos(x)dx simplify

x^{2} y^{2} cos (x) d x

simplify sqrt(5-\sqrt{7)}*sqrt(3+\sqrt{7)}simplify

5 - 7 \cdot 3 + 7

simplify e^{-2p}simplify

e^{- 2 p}

Frequently Asked Questions (FAQ)

What is e^{1/2}*e^{-1/2} ?
The solution to e^{1/2}*e^{-1/2} is 1