What is e^{-0.12*0.25}(3.2*0.6523+0*(1-0.6523)) ?

The solution to e^{-0.12*0.25}(3.2*0.6523+0*(1-0.6523)) is 2.02566…

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simplify e^{-0.120.25}(3.20.6523+0*(1-0.6523))

simplify

e^{- 0.12 \cdot 0.25} (3.2 \cdot 0.6523 + 0 \cdot (1 - 0.6523))

2.02566 \dots

Solution steps

e^{- 0.12 \cdot 0.25} (3.2 \cdot 0.6523 + 0 \cdot (1 - 0.6523))

Apply exponent rule:

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

= \frac{1}{e ^{0.12 \cdot 0.25}} (0 \cdot (1 - 0.6523) + 0.6523 \cdot 3.2)

Multiply the numbers:

0.12 \cdot 0.25 = 0.03

= \frac{1}{e ^{0.03}} (0 \cdot (1 - 0.6523) + 0.6523 \cdot 3.2)

3.2 \cdot 0.6523 = 2.08736

0 \cdot (1 - 0.6523) = 0

= \frac{1}{e ^{0.03}} (0 + 2.08736)

Add the numbers:

2.08736 + 0 = 2.08736

= 2.08736 \cdot \frac{1}{e ^{0.03}}

Multiply fractions:

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

= \frac{1 \cdot 2.08736}{e ^{0.03}}

Multiply the numbers:

1 \cdot 2.08736 = 2.08736

= \frac{2.08736}{e ^{0.03}}

e^{0.03} = 1.03045 \dots

= \frac{2.08736}{1.03045 \dots}

Divide the numbers:

\frac{2.08736}{1.03045 \dots} = 2.02566 \dots

= 2.02566 \dots

5.8216 \cdot 1 0^{(- 6)} \cdot 164.8915

- 1.021 e^{- 0.00139 \cdot 28}

4 \cdot 12 e^{- 4 t}

- 3200 e^{- 16} \cdot \frac{5}{59}

What is e^{-0.12*0.25}(3.2*0.6523+0*(1-0.6523)) ?
The solution to e^{-0.12*0.25}(3.2*0.6523+0*(1-0.6523)) is 2.02566…