What is 820000*e^{-0.15*31} ?

The solution to 820000*e^{-0.15*31} is 7840.51358…

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simplify 820000e^{-0.1531}

simplify

820000 \cdot e^{- 0.15 \cdot 31}

7840.51358 \dots

Solution steps

820000 e^{- 0.15 \cdot 31}

Apply exponent rule:

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

= 820000 \cdot \frac{1}{e ^{31 \cdot 0.15}}

Multiply the numbers:

0.15 \cdot 31 = 4.65

= 820000 \cdot \frac{1}{e ^{4.65}}

Multiply fractions:

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

= \frac{1 \cdot 820000}{e ^{4.65}}

Multiply the numbers:

1 \cdot 820000 = 820000

= \frac{820000}{e ^{4.65}}

e^{4.65} = 104.58498 \dots

= \frac{820000}{104.58498 \dots}

Divide the numbers:

\frac{820000}{104.58498 \dots} = 7840.51358 \dots

= 7840.51358 \dots

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What is 820000*e^{-0.15*31} ?
The solution to 820000*e^{-0.15*31} is 7840.51358…