What is 3/100 e^{-(3(400))/(800)} ?

The solution to 3/100 e^{-(3(400))/(800)} is 3/(100e^{3/2)}

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simplify 3/100 e^{-(3(400))/(800)}

simplify

\frac{3}{100} e^{- \frac{3 ( 400 )}{800}}

\frac{3}{100 e ^{\frac{3}{2}}}

Decimal Notation

0.00669 \dots

Solution steps

\frac{3}{100} e^{- \frac{3 ( 400 )}{800}}

Apply exponent rule:

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

= \frac{3}{100} \cdot \frac{1}{e ^{\frac{3 \cdot 400}{800}}}

\frac{1}{e ^{\frac{3 \cdot 400}{800}}} = \frac{1}{e ^{\frac{3}{2}}}

= \frac{3}{100} \cdot \frac{1}{e ^{\frac{3}{2}}}

Multiply fractions:

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

= \frac{3 \cdot 1}{100 e ^{\frac{3}{2}}}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{3}{100 e ^{\frac{3}{2}}}

(5)^{2} \times (3)^{2}

e^{- a t} sin (b t) u (t)

\frac{5 x}{7}

6.25 \cdot 1 0^{- 5}

What is 3/100 e^{-(3(400))/(800)} ?
The solution to 3/100 e^{-(3(400))/(800)} is 3/(100e^{3/2)}