What is 12*e^{-0.173*12} ?

The solution to 12*e^{-0.173*12} is 1.50517…

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simplify 12e^{-0.17312}

simplify

12 \cdot e^{- 0.173 \cdot 12}

1.50517 \dots

Solution steps

12 e^{- 0.173 \cdot 12}

Apply exponent rule:

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

= 12 \cdot \frac{1}{e ^{12 \cdot 0.173}}

Multiply the numbers:

0.173 \cdot 12 = 2.076

= 12 \cdot \frac{1}{e ^{2.076}}

Multiply fractions:

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

= \frac{1 \cdot 12}{e ^{2.076}}

Multiply the numbers:

1 \cdot 12 = 12

= \frac{12}{e ^{2.076}}

e^{2.076} = 7.97251 \dots

= \frac{12}{7.97251 \dots}

Divide the numbers:

\frac{12}{7.97251 \dots} = 1.50517 \dots

= 1.50517 \dots

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