What is 0.23*e^{-(32900)/(1.987*1253)} ?

The solution to 0.23*e^{-(32900)/(1.987*1253)} is 4.19559E-7

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simplify 0.23e^{-(32900)/(1.9871253)}

simplify

0.23 \cdot e^{- \frac{32900}{1.987 \cdot 1253}}

4.19559 E - 7

Solution steps

0.23 e^{- \frac{32900}{1.987 \cdot 1253}}

Apply exponent rule:

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

= 0.23 \cdot \frac{1}{e ^{\frac{32900}{1253 \cdot 1.987}}}

Multiply the numbers:

1.987 \cdot 1253 = 2489.711

= 0.23 \cdot \frac{1}{e ^{\frac{32900}{2489.711}}}

Multiply fractions:

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

= \frac{1 \cdot 0.23}{e ^{\frac{32900}{2489.711}}}

Multiply the numbers:

1 \cdot 0.23 = 0.23

= \frac{0.23}{e ^{\frac{32900}{2489.711}}}

e^{\frac{32900}{2489.711}} = 548194.33194 \dots

= \frac{0.23}{548194.33194 \dots}

Divide the numbers:

\frac{0.23}{548194.33194 \dots} = 4.19559 E - 7

= 4.19559 E - 7

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(2.82 \cdot 1 0^{- 5}) (4.89 \cdot 1 0^{10})

What is 0.23*e^{-(32900)/(1.987*1253)} ?
The solution to 0.23*e^{-(32900)/(1.987*1253)} is 4.19559E-7