What is 840000e^{-0.16*3} ?

The solution to 840000e^{-0.16*3} is 519778.04911…

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simplify 840000e^{-0.16*3}

simplify

840000 e^{- 0.16 \cdot 3}

519778.04911 \dots

Solution steps

840000 e^{- 0.16 \cdot 3}

Apply exponent rule:

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

= 840000 \cdot \frac{1}{e ^{3 \cdot 0.16}}

Multiply the numbers:

0.16 \cdot 3 = 0.48

= 840000 \cdot \frac{1}{e ^{0.48}}

Multiply fractions:

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

= \frac{1 \cdot 840000}{e ^{0.48}}

Multiply the numbers:

1 \cdot 840000 = 840000

= \frac{840000}{e ^{0.48}}

e^{0.48} = 1.61607 \dots

= \frac{840000}{1.61607 \dots}

Divide the numbers:

\frac{840000}{1.61607 \dots} = 519778.04911 \dots

= 519778.04911 \dots

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