en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3e^x*e^{-x}

Solution

simplify

3 e^{x} \cdot e^{- x}

Solution

3

Solution steps

3 e^{x} e^{- x}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{x} e^{- x} = e^{x - x}

= 3 e^{x - x}

Add similar elements:

x - x = 0

= 3 e^{0}

Apply rule

a^{0} = 1, a \neq = 0

e^{0} = 1

= 3 \cdot 1

Multiply the numbers:

3 \cdot 1 = 3

= 3

Popular Examples

simplify a^{(a+b)}*b^{(a+b)}simplify

a^{(a + b)} \cdot b^{(a + b)}

simplify (6.51x10^{-11})(7.8x10^{-18})simplify

(6.51 x 1 0^{- 11}) (7.8 x 1 0^{- 18})

simplify \sqrt[4]{\sqrt[3]{15}}simplify

simplify (e^{-4x})/(e^x)simplify

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

simplify sqrt(5x)sqrt(5x)simplify

5 x^{\circ} 5 x

Frequently Asked Questions (FAQ)

What is 3e^x*e^{-x} ?
The solution to 3e^x*e^{-x} is 3