What is ((0.25*8)^4)/(4!)e^{-0.25*8} ?

The solution to ((0.25*8)^4)/(4!)e^{-0.25*8} is 2/(3e^2)

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simplify ((0.258)^4)/(4!)e^{-0.258}

simplify

\frac{( 0.25 \cdot 8 ) ^{4}}{4 !} e^{- 0.25 \cdot 8}

\frac{2}{3 e ^{2}}

Decimal Notation

0.09022 \dots

Solution steps

\frac{( 0.25 \cdot 8 ) ^{4}}{4 !} e^{- 0.25 \cdot 8}

Apply exponent rule:

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

= \frac{1}{e ^{8 \cdot 0.25}} \cdot \frac{( 8 \cdot 0.25 ) ^{4}}{4 !}

Multiply the numbers:

0.25 \cdot 8 = 2

= \frac{1}{e ^{2}} \cdot \frac{2 ^{4}}{4 !}

Multiply fractions:

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

= \frac{2 ^{4} \cdot 1}{4 ! e ^{2}}

Multiply:

2^{4} \cdot 1 = 2^{4}

= \frac{2 ^{4}}{e ^{2} \cdot 4 !}

2^{4} = 16

= \frac{16}{e ^{2} \cdot 4 !}

4! e^{2} = 24 e^{2}

= \frac{16}{24 e ^{2}}

Cancel the common factor:

8

= \frac{2}{3 e ^{2}}

2 \cdot 1 0^{- 7} \cdot 1000 \cdot ln (\frac{5.5}{0.009423})

((5 x - 2) - 7 x^{2} + 8 x + 8)^{2}

e^{- 0.6 \cdot 0.018}

14450 e^{- 0.169 (2)}

(1 + 3 x^{2})^{- \frac{1}{4}}

What is ((0.25*8)^4)/(4!)e^{-0.25*8} ?
The solution to ((0.25*8)^4)/(4!)e^{-0.25*8} is 2/(3e^2)