What is 4e^{-3t}*15e^{-3t} ?

The solution to 4e^{-3t}*15e^{-3t} is 60e^{-6t}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 4e^{-3t}*15e^{-3t}

simplify

4 e^{- 3 t} \cdot 15 e^{- 3 t}

60 e^{- 6 t}

Solution steps

4 e^{- 3 t} \cdot 15 e^{- 3 t}

Apply exponent rule:

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

e^{- 3 t} e^{- 3 t} = e^{- 3 t - 3 t}

= 4 \cdot 15 e^{- 3 t - 3 t}

Add similar elements:

- 3 t - 3 t = - 6 t

= 4 \cdot 15 e^{- 6 t}

Multiply the numbers:

4 \cdot 15 = 60

= 60 e^{- 6 t}

1.5 \cdot 1 0^{- 3} \cdot 22

(e^{t})^{t}

e^{- (l n (x) + x)}

3.62 \cdot 1 0^{- 5}

- \frac{2}{3}