What is e^{-10}*10^7 1/(7!) ?

The solution to e^{-10}*10^7 1/(7!) is (125000)/(63e^{10)}

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simplify e^{-10}*10^7 1/(7!)

simplify

e^{- 10} \cdot 1 0^{7} \frac{1}{7 !}

\frac{125000}{63 e ^{10}}

Decimal Notation

0.09007 \dots

Solution steps

e^{- 10} \cdot 1 0^{7} \cdot \frac{1}{7 !}

Apply exponent rule:

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

= 1 0^{7} \cdot \frac{1}{7 !} \cdot \frac{1}{e ^{10}}

Multiply fractions:

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

= \frac{1 \cdot 1 \cdot 1 0 ^{7}}{e ^{10} \cdot 7 !}

Multiply:

1 \cdot 1 \cdot 1 0^{7} = 1 0^{7}

= \frac{1 0 ^{7}}{e ^{10} \cdot 7 !}

1 0^{7} = 10000000

= \frac{10000000}{e ^{10} \cdot 7 !}

e^{10} \cdot 7! = 5040 e^{10}

= \frac{10000000}{5040 e ^{10}}

Cancel the common factor:

80

= \frac{125000}{63 e ^{10}}

120 \cdot 4^{- 0.51457}

\frac{4 \frac{2}{5}}{\frac{2}{3}}

9 \cdot 1 0^{- 2} \cdot (2.2)

e^{- 4 \cdot (9)}

1006.2 \cdot 1.6 \cdot 1 0^{- 19}

What is e^{-10}*10^7 1/(7!) ?
The solution to e^{-10}*10^7 1/(7!) is (125000)/(63e^{10)}