en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/4 e^{4x}*e^{-3x}

Solution

simplify

\frac{1}{4} e^{4 x} \cdot e^{- 3 x}

Solution

\frac{1}{4} e^{x}

Solution steps

\frac{1}{4} e^{4 x} e^{- 3 x}

Apply exponent rule:

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

e^{4 x} e^{- 3 x} = e^{4 x - 3 x}

= \frac{1}{4} e^{4 x - 3 x}

Add similar elements:

4 x - 3 x = x

= \frac{1}{4} e^{x}

Popular Examples

simplify-e^{-x*ln(u)}simplify

- e^{- x \cdot l n (u)}

simplify x104^{-0.06x}simplify

x 10 4^{- 0.06 x}

simplify 0.4(10^{-3})(40)simplify

0.4 (1 0^{- 3}) (40)

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

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

simplify-2.019*10^{-3}simplify

- 2.019 \cdot 1 0^{- 3}

Frequently Asked Questions (FAQ)

What is 1/4 e^{4x}*e^{-3x} ?
The solution to 1/4 e^{4x}*e^{-3x} is 1/4 e^x