en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2e^tcos(t)*e^t

Solution

simplify

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

Solution

2 e^{2 t} cos (t)

Solution steps

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

Apply exponent rule:

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

e^{t} e^{t} = e^{t + t}

= 2 cos (t) e^{t + t}

Add similar elements:

t + t = 2 t

= 2 cos (t) e^{2 t}

Popular Examples

simplify (4a^5)4a^5b^7 simplify

(4 a^{5}) 4 a^{5} b^{7}

simplify e^{-25ln(x)}simplify

e^{- 25 l n (x)}

simplify 6.603*10^{-18}simplify

6.603 \cdot 1 0^{- 18}

simplify 2(2*10^8)simplify

2 (2 \cdot 1 0^{8})

simplify-(-(3e)/2)e^{-1}simplify

- (- \frac{3 e}{2}) e^{- 1}

Frequently Asked Questions (FAQ)

What is 2e^tcos(t)*e^t ?
The solution to 2e^tcos(t)*e^t is 2e^{2t}cos(t)