What is 0.001e^{-0.001*1200} ?

The solution to 0.001e^{-0.001*1200} is 0.00030…

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simplify 0.001e^{-0.001*1200}

simplify

0.001 e^{- 0.001 \cdot 1200}

0.00030 \dots

Solution steps

0.001 e^{- 0.001 \cdot 1200}

Apply exponent rule:

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

= 0.001 \cdot \frac{1}{e ^{1200 \cdot 0.001}}

Multiply the numbers:

0.001 \cdot 1200 = 1.2

= 0.001 \cdot \frac{1}{e ^{1.2}}

Multiply fractions:

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

= \frac{1 \cdot 0.001}{e ^{1.2}}

Multiply the numbers:

1 \cdot 0.001 = 0.001

= \frac{0.001}{e ^{1.2}}

e^{1.2} = 3.32011 \dots

= \frac{0.001}{3.32011 \dots}

Divide the numbers:

\frac{0.001}{3.32011 \dots} = 0.00030 \dots

= 0.00030 \dots

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