What is ((0.258)^4)/(4!)e^{-0.258} ?

The solution to ((0.258)^4)/(4!)e^{-0.258} is 0.00014…

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

simplify

\frac{( 0.258 ) ^{4}}{4 !} e^{- 0.258}

0.00014 \dots

Solution steps

\frac{( 0.258 ) ^{4}}{4 !} e^{- 0.258}

Apply exponent rule:

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

= \frac{1}{e ^{0.258}} \cdot \frac{0.25 8 ^{4}}{4 !}

Multiply fractions:

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

= \frac{0.25 8 ^{4} \cdot 1}{4 ! e ^{0.258}}

Multiply:

0.25 8^{4} \cdot 1 = 0.25 8^{4}

= \frac{0.25 8 ^{4}}{e ^{0.258} \cdot 4 !}

0.25 8^{4} = 0.00443 \dots

= \frac{0.00443 \dots}{e ^{0.258} \cdot 4 !}

4! e^{0.258} = 24 e^{0.258}

= \frac{0.00443 \dots}{24 e ^{0.258}}

e^{0.258} = 1.29433 \dots

= \frac{0.00443 \dots}{24 \cdot 1.29433 \dots}

Multiply the numbers:

24 \cdot 1.29433 \dots = 31.06413 \dots

= \frac{0.00443 \dots}{31.06413 \dots}

Divide the numbers:

\frac{0.00443 \dots}{31.06413 \dots} = 0.00014 \dots

= 0.00014 \dots

f (x) = \frac{e ^{6 x - 1}}{e ^{x - 2}}

(674) (1.0162200000000 \dots \cdot 1 0^{- 5}) (73)

- (864 \cdot 1 0^{- 9}) (- \frac{1}{0.01} + \frac{1}{0.02})

4.9 (\frac{( 1.5 ) ^{2}}{4.0 5 ^{2}})

e^{- 0.04 (0)}

What is ((0.258)^4)/(4!)e^{-0.258} ?
The solution to ((0.258)^4)/(4!)e^{-0.258} is 0.00014…