What is e^{-1.003*10^{-4}*5000} ?

The solution to e^{-1.003*10^{-4}*5000} is 0.60562…

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simplify e^{-1.00310^{-4}5000}

simplify

e^{- 1.003 \cdot 1 0^{- 4} \cdot 5000}

0.60562 \dots

Solution steps

e^{- 1.003 \cdot 1 0^{- 4} \cdot 5000}

Apply exponent rule:

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

= \frac{1}{e ^{1 0^{- 4} \cdot 5000 \cdot 1.003}}

Multiply the numbers:

1.003 \cdot 5000 = 5015

= \frac{1}{e ^{1 0^{- 4} \cdot 5015}}

e^{5015 \cdot 1 0^{- 4}} = e^{\frac{1003}{2000}}

= \frac{1}{e ^{\frac{1003}{2000}}}

Convert element to a decimal form

e^{\frac{1003}{2000}} = 1.65119 \dots

= \frac{1}{1.65119 \dots}

Divide the numbers:

\frac{1}{1.65119 \dots} = 0.60562 \dots

= 0.60562 \dots

x^{2} \cdot (x^{2} + 1)^{2}

4.233 \cdot \frac{0.64}{2} \cdot 1 0^{- 3}

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

(\frac{3}{5})^{2} \cdot (0. 7^{- 2})^{- 1}

e^{- 2 x}

What is e^{-1.003*10^{-4}*5000} ?
The solution to e^{-1.003*10^{-4}*5000} is 0.60562…