What is e^{-3.742}*(3.742)^2 1/(2!) ?

The solution to e^{-3.742}*(3.742)^2 1/(2!) is 0.16597…

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simplify e^{-3.742}*(3.742)^2 1/(2!)

simplify

e^{- 3.742} \cdot (3.742)^{2} \frac{1}{2 !}

0.16597 \dots

Solution steps

e^{- 3.742} (3.742)^{2} \frac{1}{2 !}

Apply exponent rule:

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

= 3.74 2^{2} \cdot \frac{1}{2 !} \cdot \frac{1}{e ^{3.742}}

Multiply fractions:

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

= \frac{1 \cdot 1 \cdot 3.74 2 ^{2}}{e ^{3.742} \cdot 2 !}

Multiply:

1 \cdot 1 \cdot 3.74 2^{2} = 3.74 2^{2}

= \frac{3.74 2 ^{2}}{e ^{3.742} \cdot 2 !}

3.74 2^{2} = 14.002564

= \frac{14.002564}{e ^{3.742} \cdot 2 !}

e^{3.742} \cdot 2! = 2 e^{3.742}

= \frac{14.002564}{2 e ^{3.742}}

e^{3.742} = 42.18227 \dots

= \frac{14.002564}{2 \cdot 42.18227 \dots}

Multiply the numbers:

2 \cdot 42.18227 \dots = 84.36454 \dots

= \frac{14.002564}{84.36454 \dots}

Divide the numbers:

\frac{14.002564}{84.36454 \dots} = 0.16597 \dots

= 0.16597 \dots

5 e^{- \frac{1}{2}}

(\frac{x ^{4}}{2} + \frac{x ^{4}}{12}) e^{- x}

0.85014 \cdot 6^{- 1}

1.85 \cdot (5.67 \cdot 1 0^{- 8}) \cdot (31 3^{4} - 30 6^{4})

(4 π \cdot 1 0^{- 7}) (3.83 \cdot 1 0^{- 4})

What is e^{-3.742}*(3.742)^2 1/(2!) ?
The solution to e^{-3.742}*(3.742)^2 1/(2!) is 0.16597…