What is e^{-6}((6^7)/(7!)) ?

The solution to e^{-6}((6^7)/(7!)) is (1944)/(35e^6)

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simplify e^{-6}((6^7)/(7!))

simplify

e^{- 6} (\frac{6 ^{7}}{7 !})

\frac{1944}{35 e ^{6}}

Decimal Notation

0.13767 \dots

Solution steps

e^{- 6} (\frac{6 ^{7}}{7 !})

Apply exponent rule:

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

= \frac{1}{e ^{6}} \cdot \frac{6 ^{7}}{7 !}

Multiply fractions:

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

= \frac{1 \cdot 6 ^{7}}{e ^{6} \cdot 7 !}

Multiply:

1 \cdot 6^{7} = 6^{7}

= \frac{6 ^{7}}{e ^{6} \cdot 7 !}

6^{7} = 279936

= \frac{279936}{e ^{6} \cdot 7 !}

e^{6} \cdot 7! = 5040 e^{6}

= \frac{279936}{5040 e ^{6}}

Cancel the common factor:

144

= \frac{1944}{35 e ^{6}}

5.75 \cdot 1 0^{- 3}

8 x^{3} (4 x^{4})

x + 3 x + 1

263 (1.77 \cdot 1 0^{- 1})

3.5714 x 1 0^{- 3}

What is e^{-6}((6^7)/(7!)) ?
The solution to e^{-6}((6^7)/(7!)) is (1944)/(35e^6)