What is e^{-2.5*10^{-4}*720} ?

The solution to e^{-2.5*10^{-4}*720} is 0.83527…

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simplify e^{-2.510^{-4}720}

simplify

e^{- 2.5 \cdot 1 0^{- 4} \cdot 720}

0.83527 \dots

Solution steps

e^{- 2.5 \cdot 1 0^{- 4} \cdot 720}

Apply exponent rule:

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

= \frac{1}{e ^{1 0^{- 4} \cdot 720 \cdot 2.5}}

Multiply the numbers:

2.5 \cdot 720 = 1800

= \frac{1}{e ^{1 0^{- 4} \cdot 1800}}

e^{1800 \cdot 1 0^{- 4}} = e^{\frac{9}{50}}

= \frac{1}{e ^{\frac{9}{50}}}

Convert element to a decimal form

e^{\frac{9}{50}} = 1.19721 \dots

= \frac{1}{1.19721 \dots}

Divide the numbers:

\frac{1}{1.19721 \dots} = 0.83527 \dots

= 0.83527 \dots

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