What is e^{-0.25(3.5-1.8)^2} ?

The solution to e^{-0.25(3.5-1.8)^2} is 0.48553…

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simplify e^{-0.25(3.5-1.8)^2}

simplify

e^{- 0.25 (3.5 - 1.8)^{2}}

0.48553 \dots

Solution steps

e^{- 0.25 (3.5 - 1.8)^{2}}

Apply exponent rule:

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

= \frac{1}{e ^{0.25 (3.5 - 1.8)^{2}}}

Subtract the numbers:

3.5 - 1.8 = 1.7

= \frac{1}{e ^{0.25 \cdot 1. 7^{2}}}

e^{0.25 \cdot 1. 7^{2}} = e^{0.7225}

= \frac{1}{e ^{0.7225}}

e^{0.7225} = 2.05957 \dots

= \frac{1}{2.05957 \dots}

Divide the numbers:

\frac{1}{2.05957 \dots} = 0.48553 \dots

= 0.48553 \dots

1.4714800000000 \dots \cdot 1 0^{- 6}

(3 x 1 0^{4}) (2.1 x 1 0^{3})

(2 x 1 0^{- 4}) (8.1 x 1 0^{- 1})

4 π (0.01)^{2} (0.01)

[(x + 1)^{2}]^{^{'}}