What is e^{-6}*((2*3^8)/(8!)) ?

The solution to e^{-6}*((2*3^8)/(8!)) is (729)/(2240e^6)

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simplify e^{-6}((23^8)/(8!))

simplify

e^{- 6} \cdot (\frac{2 \cdot 3 ^{8}}{8 !})

\frac{729}{2240 e ^{6}}

Decimal Notation

0.00080 \dots

Solution steps

e^{- 6} (\frac{2 \cdot 3 ^{8}}{8 !})

Apply exponent rule:

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

= \frac{1}{e ^{6}} \cdot \frac{3 ^{8} \cdot 2}{8 !}

Multiply fractions:

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

= \frac{1 \cdot 2 \cdot 3 ^{8}}{e ^{6} \cdot 8 !}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{3 ^{8} \cdot 2}{e ^{6} \cdot 8 !}

2 \cdot 3^{8} = 13122

= \frac{13122}{e ^{6} \cdot 8 !}

e^{6} \cdot 8! = 40320 e^{6}

= \frac{13122}{40320 e ^{6}}

Cancel the common factor:

18

= \frac{729}{2240 e ^{6}}

C^{\circ} r d I^{9} h z E^{9} 6 L E h h^{9} h

f^{- 1} (9)

x^{2} e^{- ∣ x ∣}

3583 e^{- e^{- 0.02 (1791.5 - 66)}}

\frac{d}{d x} (e^{y x})

What is e^{-6}*((2*3^8)/(8!)) ?
The solution to e^{-6}*((2*3^8)/(8!)) is (729)/(2240e^6)