What is ((2.115)^6)/(6!)e^{-2.115} ?

The solution to ((2.115)^6)/(6!)e^{-2.115} is 0.01499…

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simplify ((2.115)^6)/(6!)e^{-2.115}

simplify

\frac{( 2.115 ) ^{6}}{6 !} e^{- 2.115}

0.01499 \dots

Solution steps

\frac{( 2.115 ) ^{6}}{6 !} e^{- 2.115}

Apply exponent rule:

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

= \frac{1}{e ^{2.115}} \cdot \frac{2.11 5 ^{6}}{6 !}

Multiply fractions:

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

= \frac{2.11 5 ^{6} \cdot 1}{6 ! e ^{2.115}}

Multiply:

2.11 5^{6} \cdot 1 = 2.11 5^{6}

= \frac{2.11 5 ^{6}}{e ^{2.115} \cdot 6 !}

2.11 5^{6} = 89.50807 \dots

= \frac{89.50807 \dots}{e ^{2.115} \cdot 6 !}

6! e^{2.115} = 720 e^{2.115}

= \frac{89.50807 \dots}{720 e ^{2.115}}

e^{2.115} = 8.28958 \dots

= \frac{89.50807 \dots}{720 \cdot 8.28958 \dots}

Multiply the numbers:

720 \cdot 8.28958 \dots = 5968.50175 \dots

= \frac{89.50807 \dots}{5968.50175 \dots}

Divide the numbers:

\frac{89.50807 \dots}{5968.50175 \dots} = 0.01499 \dots

= 0.01499 \dots

\frac{a ^{c x}}{x ^{c x}}

f^{- 1^{^{'}}} (9)

(- (\frac{64}{27}) (2 - \frac{8}{7}))^{- 0.5}

(1.1176) (8.3 \cdot 1 0^{- 5}) (- 25)

(26) 6

What is ((2.115)^6)/(6!)e^{-2.115} ?
The solution to ((2.115)^6)/(6!)e^{-2.115} is 0.01499…