What is 75e^{-0.019254(12)} ?

The solution to 75e^{-0.019254(12)} is 59.52760…

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simplify 75e^{-0.019254(12)}

simplify

75 e^{- 0.019254 (12)}

59.52760 \dots

Solution steps

75 e^{- 0.019254 (12)}

Apply exponent rule:

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

= 75 \cdot \frac{1}{e ^{12 \cdot 0.019254}}

Multiply the numbers:

0.019254 \cdot 12 = 0.231048

= 75 \cdot \frac{1}{e ^{0.231048}}

Multiply fractions:

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

= \frac{1 \cdot 75}{e ^{0.231048}}

Multiply the numbers:

1 \cdot 75 = 75

= \frac{75}{e ^{0.231048}}

e^{0.231048} = 1.25991 \dots

= \frac{75}{1.25991 \dots}

Divide the numbers:

\frac{75}{1.25991 \dots} = 59.52760 \dots

= 59.52760 \dots

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