What is 4.18e^{-(0.5)/(1.987*10^{-3)*100}} ?

The solution to 4.18e^{-(0.5)/(1.987*10^{-3)*100}} is 0.33754…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 4.18e^{-(0.5)/(1.98710^{-3)100}}

simplify

4.18 e^{- \frac{0.5}{1.987 \cdot 1 0 ^{- 3} \cdot 100}}

0.33754 \dots

Solution steps

4.18 e^{- \frac{0.5}{1.987 \cdot 1 0 ^{- 3} \cdot 100}}

Apply exponent rule:

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

= 4.18 \cdot \frac{1}{e ^{\frac{0.5}{1 0 ^{- 3} \cdot 100 \cdot 1.987}}}

\frac{1}{e ^{\frac{0.5}{1.987 \cdot 1 0 ^{- 3} \cdot 100}}} = \frac{1}{e ^{\frac{0.5}{0.1987}}}

= 4.18 \cdot \frac{1}{e ^{\frac{0.5}{0.1987}}}

Multiply fractions:

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

= \frac{1 \cdot 4.18}{e ^{\frac{0.5}{0.1987}}}

Multiply the numbers:

1 \cdot 4.18 = 4.18

= \frac{4.18}{e ^{\frac{0.5}{0.1987}}}

e^{\frac{0.5}{0.1987}} = 12.38339 \dots

= \frac{4.18}{12.38339 \dots}

Divide the numbers:

\frac{4.18}{12.38339 \dots} = 0.33754 \dots

= 0.33754 \dots

6.84 \cdot 1 0^{- 6}

- e^{2 x} e^{x}

e^{- 0.508}

8.89 \cdot 1 0^{- 4}

0.5 \cdot 0.5 \cdot (2.32)^{2}

What is 4.18e^{-(0.5)/(1.987*10^{-3)*100}} ?
The solution to 4.18e^{-(0.5)/(1.987*10^{-3)*100}} is 0.33754…