What is 100e^{-0.5(5)} ?

The solution to 100e^{-0.5(5)} is 8.20849…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 100e^{-0.5(5)}

simplify

100 e^{- 0.5 (5)}

8.20849 \dots

Solution steps

100 e^{- 0.5 (5)}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= 100 \cdot \frac{1}{e ^{5 \cdot 0.5}}

Multiply the numbers:

0.5 \cdot 5 = 2.5

= 100 \cdot \frac{1}{e ^{2.5}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 100}{e ^{2.5}}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{e ^{2.5}}

e^{2.5} = 12.18249 \dots

= \frac{100}{12.18249 \dots}

Divide the numbers:

\frac{100}{12.18249 \dots} = 8.20849 \dots

= 8.20849 \dots

(e^{- \frac{x ^{2}}{2}})^{2}

t e t^{- t} sin (3 t)

e^{- 3.53}

t e^{- 3 t} cos (t)