What is 0.5e^{-12500*100*10^{-6}} ?

The solution to 0.5e^{-12500*100*10^{-6}} is 0.14325…

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simplify 0.5e^{-1250010010^{-6}}

simplify

0.5 e^{- 12500 \cdot 100 \cdot 1 0^{- 6}}

0.14325 \dots

Solution steps

0.5 e^{- 12500 \cdot 100 \cdot 1 0^{- 6}}

Apply exponent rule:

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

= 0.5 \cdot \frac{1}{e ^{1 0^{- 6} \cdot 12500 \cdot 100}}

\frac{1}{e ^{12500 \cdot 100 \cdot 1 0^{- 6}}} = \frac{1}{e ^{\frac{5}{4}}}

= 0.5 \cdot \frac{1}{e ^{\frac{5}{4}}}

Multiply fractions:

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

= \frac{1 \cdot 0.5}{e ^{\frac{5}{4}}}

Multiply the numbers:

1 \cdot 0.5 = 0.5

= \frac{0.5}{e ^{\frac{5}{4}}}

Convert element to a decimal form

e^{\frac{5}{4}} = 3.49034 \dots

= \frac{0.5}{3.49034 \dots}

Divide the numbers:

\frac{0.5}{3.49034 \dots} = 0.14325 \dots

= 0.14325 \dots

e^{x y} \cdot e^{x y}

cos (x^{2}) cos (x^{2})

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

(5 - cot (a))^{2} (1 + cos (a))^{2}

e^{- 3 x} (2 e^{2 x})

What is 0.5e^{-12500*100*10^{-6}} ?
The solution to 0.5e^{-12500*100*10^{-6}} is 0.14325…