What is 1.013e^{-((0.0342)/(250))10000}*1000 ?

The solution to 1.013e^{-((0.0342)/(250))10000}*1000 is 257.92568…

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simplify 1.013e^{-((0.0342)/(250))10000}*1000

simplify

1.013 e^{- (\frac{0.0342}{250}) 10000} \cdot 1000

257.92568 \dots

Solution steps

1.013 e^{- (\frac{0.0342}{250}) \cdot 10000} \cdot 1000

Apply exponent rule:

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

= 1000 \cdot 1.013 \cdot \frac{1}{e ^{10000 \cdot \frac{0.0342}{250}}}

\frac{1}{e ^{\frac{0.0342}{250} \cdot 10000}} = \frac{1}{e ^{1.368}}

= 1000 \cdot 1.013 \cdot \frac{1}{e ^{1.368}}

Multiply fractions:

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

= 1.013 \cdot \frac{1 \cdot 1000}{e ^{1.368}}

\frac{1 \cdot 1000}{e ^{1.368}} = 254.61568 \dots

= 1.013 \cdot 254.61568 \dots

Multiply the numbers:

1.013 \cdot 254.61568 \dots = 257.92568 \dots

= 257.92568 \dots

1821071.13 \cdot (1 + 0.1)^{- 6}

10000 \cdot 2.2 \cdot 1 0^{- 3}

(7.31 \cdot 1 0^{14}) (6.626 \cdot 1 0^{- 34})

(4.368 \cdot 1 0^{- 24}) \cdot 0.18518519

What is 1.013e^{-((0.0342)/(250))10000}*1000 ?
The solution to 1.013e^{-((0.0342)/(250))10000}*1000 is 257.92568…