What is 2500*e^{0.025-0.025^2}*e^{2*0.025^2} ?

The solution to 2500*e^{0.025-0.025^2}*e^{2*0.025^2} is 2564.89035…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2500e^{0.025-0.025^2}e^{2*0.025^2}

simplify

2500 \cdot e^{0.025 - 0.02 5^{2}} \cdot e^{2 \cdot 0.02 5^{2}}

2564.89035 \dots

Solution steps

2500 e^{0.025 - 0.02 5^{2}} e^{2 \cdot 0.02 5^{2}}

Apply exponent rule:

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

e^{0.025 - 0.02 5^{2}} e^{2 \cdot 0.02 5^{2}} = e^{0.025 - 0.02 5^{2} + 2 \cdot 0.02 5^{2}}

= 2500 e^{0.025 - 0.02 5^{2} + 2 \cdot 0.02 5^{2}}

e^{0.025 - 0.02 5^{2} + 2 \cdot 0.02 5^{2}} = e^{0.025625}

= 2500 e^{0.025625}

e^{0.025625} = 1.02595 \dots

= 2500 \cdot 1.02595 \dots

Multiply the numbers:

2500 \cdot 1.02595 \dots = 2564.89035 \dots

= 2564.89035 \dots

e^{- 125.33}

6.49 \cdot 1 0^{- 2}

e^{- a t} cos (w_{0} t) u (t)

e^{- 0.06116}

What is 2500*e^{0.025-0.025^2}*e^{2*0.025^2} ?
The solution to 2500*e^{0.025-0.025^2}*e^{2*0.025^2} is 2564.89035…