What is e^{-(2.5*10^{-3})/(500*10^{-9)}} ?

The solution to e^{-(2.5*10^{-3})/(500*10^{-9)}} is 1/(e^{5000)}

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simplify e^{-(2.510^{-3})/(50010^{-9)}}

simplify

e^{- \frac{2.5 \cdot 1 0 ^{- 3}}{500 \cdot 1 0 ^{- 9}}}

\frac{1}{e ^{5000}}

Solution steps

e^{- \frac{2.5 \cdot 1 0 ^{- 3}}{500 \cdot 1 0 ^{- 9}}}

Apply exponent rule:

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

= \frac{1}{e ^{\frac{2.5 \cdot 1 0 ^{- 3}}{500 \cdot 1 0 ^{- 9}}}}

e^{\frac{2.5 \cdot 1 0 ^{- 3}}{500 \cdot 1 0 ^{- 9}}} = e^{2^{4} \cdot 5^{3} \cdot 2.5}

= \frac{1}{e ^{2^{4} \cdot 5^{3} \cdot 2.5}}

e^{2^{4} \cdot 5^{3} \cdot 2.5} = e^{5000}

= \frac{1}{e ^{5000}}

x^{2} \cdot (6 x^{2} y)

e^{- 2 x} (\frac{1}{1 + e ^{x}})

7.79 \cdot 1 0^{- 4}

6.3 \cdot 1 0^{- 7} \cdot 7

2 3^{2} π

What is e^{-(2.5*10^{-3})/(500*10^{-9)}} ?
The solution to e^{-(2.5*10^{-3})/(500*10^{-9)}} is 1/(e^{5000)}