What is e^{-1.75}*(1.75^4)/(4!) ?

The solution to e^{-1.75}*(1.75^4)/(4!) is 0.06790…

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simplify e^{-1.75}*(1.75^4)/(4!)

simplify

e^{- 1.75} \cdot \frac{1.7 5 ^{4}}{4 !}

0.06790 \dots

Solution steps

e^{- 1.75} \frac{1.7 5 ^{4}}{4 !}

Apply exponent rule:

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

= \frac{1}{e ^{1.75}} \cdot \frac{1.7 5 ^{4}}{4 !}

Multiply fractions:

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

= \frac{1 \cdot 1.7 5 ^{4}}{e ^{1.75} \cdot 4 !}

Multiply:

1 \cdot 1.7 5^{4} = 1.7 5^{4}

= \frac{1.7 5 ^{4}}{e ^{1.75} \cdot 4 !}

1.7 5^{4} = 9.37890625

= \frac{9.37890625}{e ^{1.75} \cdot 4 !}

e^{1.75} \cdot 4! = 24 e^{1.75}

= \frac{9.37890625}{24 e ^{1.75}}

e^{1.75} = 5.75460 \dots

= \frac{9.37890625}{24 \cdot 5.75460 \dots}

Multiply the numbers:

24 \cdot 5.75460 \dots = 138.11046 \dots

= \frac{9.37890625}{138.11046 \dots}

Divide the numbers:

\frac{9.37890625}{138.11046 \dots} = 0.06790 \dots

= 0.06790 \dots

(θ^{2} r^{2}) \cdot (r - 9)

- 2 \cdot 3 + 5 \cdot 3 - 5

(2 \cdot 1 0^{3}) 2 (1.6 \cdot 1 0^{- 19})

x^{2} \cdot (x + 1) \cdot (0.01 \cdot x + 1)^{2}

(6^{2})^{3} 0.216

What is e^{-1.75}*(1.75^4)/(4!) ?
The solution to e^{-1.75}*(1.75^4)/(4!) is 0.06790…