What is 250e^{-0.04*12} ?

The solution to 250e^{-0.04*12} is 154.69584…

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simplify 250e^{-0.04*12}

simplify

250 e^{- 0.04 \cdot 12}

154.69584 \dots

Solution steps

250 e^{- 0.04 \cdot 12}

Apply exponent rule:

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

= 250 \cdot \frac{1}{e ^{12 \cdot 0.04}}

Multiply the numbers:

0.04 \cdot 12 = 0.48

= 250 \cdot \frac{1}{e ^{0.48}}

Multiply fractions:

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

= \frac{1 \cdot 250}{e ^{0.48}}

Multiply the numbers:

1 \cdot 250 = 250

= \frac{250}{e ^{0.48}}

e^{0.48} = 1.61607 \dots

= \frac{250}{1.61607 \dots}

Divide the numbers:

\frac{250}{1.61607 \dots} = 154.69584 \dots

= 154.69584 \dots

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