What is 53/200*e^{(-(200)/(0.17)*4.3*10^{-4})} ?

The solution to 53/200*e^{(-(200)/(0.17)*4.3*10^{-4})} is 0.15978…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 53/200e^{(-(200)/(0.17)4.3*10^{-4})}

simplify

\frac{53}{200} \cdot e^{(- \frac{200}{0.17} \cdot 4.3 \cdot 1 0^{- 4})}

0.15978 \dots

Solution steps

\frac{53}{200} e^{(- \frac{200}{0.17} \cdot 4.3 \cdot 1 0^{- 4})}

Apply exponent rule:

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

= \frac{53}{200} \cdot \frac{1}{e ^{1 0^{- 4} \cdot 4.3 \cdot \frac{200}{0.17}}}

\frac{1}{e ^{\frac{200}{0.17} \cdot 4.3 \cdot 1 0^{- 4}}} = \frac{1}{e ^{0.50588 \dots}}

= \frac{53}{200} \cdot \frac{1}{e ^{0.50588 \dots}}

Multiply fractions:

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

= \frac{53 \cdot 1}{200 e ^{0.50588 \dots}}

Multiply the numbers:

53 \cdot 1 = 53

= \frac{53}{200 e ^{0.50588 \dots}}

e^{0.50588 \dots} = 1.65844 \dots

= \frac{53}{200 \cdot 1.65844 \dots}

Multiply the numbers:

200 \cdot 1.65844 \dots = 331.68964 \dots

= \frac{53}{331.68964 \dots}

Divide the numbers:

\frac{53}{331.68964 \dots} = 0.15978 \dots

= 0.15978 \dots

2 e^{- 0.03 (\frac{0.5}{12})}

e^{- π s}

(46.8) (6.63 \cdot 1 0^{- 34})

4.894 \cdot 1 0^{- 3} (\frac{331}{2})

h u n d ere d^{730.2384}

What is 53/200*e^{(-(200)/(0.17)*4.3*10^{-4})} ?
The solution to 53/200*e^{(-(200)/(0.17)*4.3*10^{-4})} is 0.15978…