What is 3(e^{2t})^2t*e^{2t} ?

The solution to 3(e^{2t})^2t*e^{2t} is 3e^{6t}t

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3(e^{2t})^2t*e^{2t}

simplify

3 (e^{2 t})^{2} t \cdot e^{2 t}

3 e^{6 t} t

Solution steps

3 (e^{2 t})^{2} t e^{2 t}

(e^{2 t})^{2} : e^{4 t}

= 3 e^{4 t} t e^{2 t}

Apply exponent rule:

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

e^{4 t} e^{2 t} = e^{4 t + 2 t}

= 3 t e^{4 t + 2 t}

Add similar elements:

4 t + 2 t = 6 t

= 3 t e^{6 t}

e^{8}

e^{- 0.5} \cdot 0.5

a e^{- a t} u (t)