What is e^{-1.2*2}(1+1.2*2+((1.2*2)^2)/2) ?

The solution to e^{-1.2*2}(1+1.2*2+((1.2*2)^2)/2) is 0.56970…

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simplify e^{-1.22}(1+1.22+((1.2*2)^2)/2)

simplify

e^{- 1.2 \cdot 2} (1 + 1.2 \cdot 2 + \frac{( 1.2 \cdot 2 ) ^{2}}{2})

0.56970 \dots

Solution steps

e^{- 1.2 \cdot 2} (1 + 1.2 \cdot 2 + \frac{( 1.2 \cdot 2 ) ^{2}}{2})

Apply exponent rule:

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

= \frac{1}{e ^{2 \cdot 1.2}} (\frac{( 2 \cdot 1.2 ) ^{2}}{2} + 1 + 2 \cdot 1.2)

Multiply the numbers:

1.2 \cdot 2 = 2.4

= \frac{1}{e ^{2.4}} (\frac{2. 4 ^{2}}{2} + 1 + 2.4)

Add the numbers:

1 + 2.4 = 3.4

= \frac{1}{e ^{2.4}} (\frac{2. 4 ^{2}}{2} + 3.4)

Multiply fractions:

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

= \frac{1 \cdot ( \frac{2. 4 ^{2}}{2} + 3.4 )}{e ^{2.4}}

1 \cdot (\frac{2. 4 ^{2}}{2} + 3.4) = \frac{5.76}{2} + 3.4

= \frac{\frac{5.76}{2} + 3.4}{e ^{2.4}}

Divide the numbers:

\frac{5.76}{2} = 2.88

= \frac{2.88 + 3.4}{e ^{2.4}}

Add the numbers:

2.88 + 3.4 = 6.28

= \frac{6.28}{e ^{2.4}}

e^{2.4} = 11.02317 \dots

= \frac{6.28}{11.02317 \dots}

Divide the numbers:

\frac{6.28}{11.02317 \dots} = 0.56970 \dots

= 0.56970 \dots

(8.7 \cdot 1 0^{- 4}) (8.7 \cdot 1 0^{- 4} \cdot 2)^{2}

e^{- \frac{1}{10} \cdot 20}

(1 - x^{2})^{3} \cdot (1 - x^{2})^{3}

25 \cdot (17.3 \cdot 1 0^{- 6}) \cdot (90 - 25)

0.83 \cdot e^{- 0.33 (1 - 0.75) \cdot 32}

What is e^{-1.2*2}(1+1.2*2+((1.2*2)^2)/2) ?
The solution to e^{-1.2*2}(1+1.2*2+((1.2*2)^2)/2) is 0.56970…