What is 2ae^{2at}*(-a)e^{at} ?

The solution to 2ae^{2at}*(-a)e^{at} is -2a^2e^{3at}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2ae^{2at}*(-a)e^{at}

simplify

2 a e^{2 a t} \cdot (- a) e^{a t}

- 2 a^{2} e^{3 a t}

Solution steps

2 a e^{2 a t} (- a) e^{a t}

Apply exponent rule:

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

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

= 2 a (- a) e^{2 a t + a t}

Add similar elements:

2 a t + a t = 3 a t

= 2 a (- a) e^{3 a t}

Remove parentheses:

(- a) = - a

= - 2 aa e^{3 a t}

Apply exponent rule:

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

aa = a^{1 + 1}

= - 2 a^{1 + 1} e^{3 a t}

Add the numbers:

1 + 1 = 2

= - 2 a^{2} e^{3 a t}

(12 x^{3}) x (4 x)

1.602 \cdot 1 0^{- 15}

(6.2 x 1 0^{8}) (2.6 x 1 0^{8})

3.2 e^{- 6}

What is 2ae^{2at}*(-a)e^{at} ?
The solution to 2ae^{2at}*(-a)e^{at} is -2a^2e^{3at}