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

The solution to e^{-6}(6^8)/(8!) is (1458)/(35e^6)

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

simplify

e^{- 6} \frac{6 ^{8}}{8 !}

\frac{1458}{35 e ^{6}}

Solution steps

e^{- 6} \frac{6 ^{8}}{8 !}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot 6^{8} = 6^{8}

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

6^{8} = 1679616

= \frac{1679616}{e ^{6} \cdot 8 !}

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

= \frac{1679616}{40320 e ^{6}}

Cancel the common factor:

1152

= \frac{1458}{35 e ^{6}}

- e^{- \frac{0 ^{2}}{2}} 0

9.9 \cdot 1 0^{- 3} \cdot 100000

- 0. 5^{- 3} \cdot 0. 1^{- 2}

e^{- 7.01262 \cdot 1 0^{18}}

0.53 \cdot (\frac{15}{44})^{- 1}