What is e^{-0.12*3/12}(0.6523*0+(1-0.6523)*2.4) ?

The solution to e^{-0.12*3/12}(0.6523*0+(1-0.6523)*2.4) is 0.80981…

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simplify e^{-0.123/12}(0.65230+(1-0.6523)*2.4)

simplify

e^{- 0.12 \cdot \frac{3}{12}} (0.6523 \cdot 0 + (1 - 0.6523) \cdot 2.4)

0.80981 \dots

Solution steps

e^{- 0.12 \cdot \frac{3}{12}} (0.6523 \cdot 0 + (1 - 0.6523) \cdot 2.4)

Apply exponent rule:

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

= \frac{1}{e ^{0.12 \cdot \frac{3}{12}}} (2.4 (1 - 0.6523) + 0 \cdot 0.6523)

\frac{1}{e ^{0.12 \cdot \frac{3}{12}}} = \frac{1}{e ^{0.03}}

= \frac{1}{e ^{0.03}} (2.4 (1 - 0.6523) + 0 \cdot 0.6523)

0.6523 \cdot 0 = 0

(1 - 0.6523) \cdot 2.4 = 0.83448

= \frac{1}{e ^{0.03}} (0 + 0.83448)

Add the numbers:

0 + 0.83448 = 0.83448

= 0.83448 \cdot \frac{1}{e ^{0.03}}

Multiply fractions:

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

= \frac{1 \cdot 0.83448}{e ^{0.03}}

Multiply the numbers:

1 \cdot 0.83448 = 0.83448

= \frac{0.83448}{e ^{0.03}}

e^{0.03} = 1.03045 \dots

= \frac{0.83448}{1.03045 \dots}

Divide the numbers:

\frac{0.83448}{1.03045 \dots} = 0.80981 \dots

= 0.80981 \dots

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(x - 1)^{2} (x - 4)^{2}

1 (e^{- 1})

e^{- 20 t} (C_{1} cos (10 t) + C_{2} sin (10 t))

0.05 \cdot 1 0^{- 3} \cdot (\frac{- 8 \cdot \frac{0.1}{2}}{0. 1 ^{2}})

What is e^{-0.12*3/12}(0.6523*0+(1-0.6523)*2.4) ?
The solution to e^{-0.12*3/12}(0.6523*0+(1-0.6523)*2.4) is 0.80981…