What is 3/5 e^{-2x}(e^{3x}) ?

The solution to 3/5 e^{-2x}(e^{3x}) is 3/5 e^x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3/5 e^{-2x}(e^{3x})

simplify

\frac{3}{5} e^{- 2 x} (e^{3 x})

\frac{3}{5} e^{x}

Solution steps

\frac{3}{5} e^{- 2 x} (e^{3 x})

Apply exponent rule:

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

e^{- 2 x} e^{3 x} = e^{- 2 x + 3 x}

= \frac{3}{5} e^{- 2 x + 3 x}

Add similar elements:

- 2 x + 3 x = x

= \frac{3}{5} e^{x}

\frac{( - 3 ) ^{4^{^{'}}}}{( - 3 ) ^{1}}

e^{- t} (e^{- j wt})

4 (1 - (1 - e^{6 - y}))^{4 - 1} e^{- (y - 6)}

2 (2 a^{2}) (3 b^{2})