What is 250e^{-0.06(18)} ?

The solution to 250e^{-0.06(18)} is 84.89888…

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simplify 250e^{-0.06(18)}

simplify

250 e^{- 0.06 (18)}

84.89888 \dots

Solution steps

250 e^{- 0.06 (18)}

Apply exponent rule:

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

= 250 \cdot \frac{1}{e ^{18 \cdot 0.06}}

Multiply the numbers:

0.06 \cdot 18 = 1.08

= 250 \cdot \frac{1}{e ^{1.08}}

Multiply fractions:

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

= \frac{1 \cdot 250}{e ^{1.08}}

Multiply the numbers:

1 \cdot 250 = 250

= \frac{250}{e ^{1.08}}

e^{1.08} = 2.94467 \dots

= \frac{250}{2.94467 \dots}

Divide the numbers:

\frac{250}{2.94467 \dots} = 84.89888 \dots

= 84.89888 \dots

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