en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

3

Solution steps

e^{x} \cdot 3 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 [beginarrayccc^1]11200130001endarray simplify

[b e g ina rr a ycc c^{1}] 11200130001 e n d a rr a y

simplify (6g)(6cm^2)simplify

(6 g) (6 c m^{2})

simplify \sqrt[5]{(7/3)^2}simplify

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

(- 1) e^{- 2 \cdot (- 1)}

simplify (2x^3)(15x^4)simplify

(2 x^{3}) (15 x^{4})

Frequently Asked Questions (FAQ)

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