What is e^{-4.5}*4.5^4 1/(4!) ?

The solution to e^{-4.5}*4.5^4 1/(4!) is 0.18980…

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simplify e^{-4.5}*4.5^4 1/(4!)

simplify

e^{- 4.5} \cdot 4. 5^{4} \frac{1}{4 !}

0.18980 \dots

Solution steps

e^{- 4.5} \cdot 4. 5^{4} \cdot \frac{1}{4 !}

Apply exponent rule:

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

= 4. 5^{4} \cdot \frac{1}{4 !} \cdot \frac{1}{e ^{4.5}}

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 4. 5 ^{4}}{e ^{4.5} \cdot 4 !}

Multiply:

1 \cdot 1 \cdot 4. 5^{4} = 4. 5^{4}

= \frac{4. 5 ^{4}}{e ^{4.5} \cdot 4 !}

4. 5^{4} = 410.0625

= \frac{410.0625}{e ^{4.5} \cdot 4 !}

e^{4.5} \cdot 4! = 24 e^{4.5}

= \frac{410.0625}{24 e ^{4.5}}

e^{4.5} = 90.01713 \dots

= \frac{410.0625}{24 \cdot 90.01713 \dots}

Multiply the numbers:

24 \cdot 90.01713 \dots = 2160.41115 \dots

= \frac{410.0625}{2160.41115 \dots}

Divide the numbers:

\frac{410.0625}{2160.41115 \dots} = 0.18980 \dots

= 0.18980 \dots

sin (t) e^{- s t}

6.67 \cdot 1 0^{- 11} \frac{4 \cdot 2}{0. 4 ^{2}}

\frac{( x + 1 ) ^{2}}{( x + 2 ) ^{2}}

\frac{e ^{- 4 x}}{e ^{- 4 x}}

What is e^{-4.5}*4.5^4 1/(4!) ?
The solution to e^{-4.5}*4.5^4 1/(4!) is 0.18980…