What is ((10)^5)/(5!)e^{-10} ?

The solution to ((10)^5)/(5!)e^{-10} is (2500)/(3e^{10)}

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simplify ((10)^5)/(5!)e^{-10}

simplify

\frac{( 10 ) ^{5}}{5 !} e^{- 10}

\frac{2500}{3 e ^{10}}

Decimal Notation

0.03783 \dots

Solution steps

\frac{( 10 ) ^{5}}{5 !} e^{- 10}

Apply exponent rule:

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

= \frac{1}{e ^{10}} \cdot \frac{1 0 ^{5}}{5 !}

Multiply fractions:

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

= \frac{1 0 ^{5} \cdot 1}{5 ! e ^{10}}

Multiply:

1 0^{5} \cdot 1 = 1 0^{5}

= \frac{1 0 ^{5}}{e ^{10} \cdot 5 !}

1 0^{5} = 100000

= \frac{100000}{e ^{10} \cdot 5 !}

5! e^{10} = 120 e^{10}

= \frac{100000}{120 e ^{10}}

Cancel the common factor:

40

= \frac{2500}{3 e ^{10}}

(b - a)^{2} \cdot (c - b)^{2} \cdot (c - a)^{2}

\frac{193000 ( 0.129 )}{\frac{π}{4} ( 0.129 ) ^{2}} \cdot 1 0^{- 6}

(2.7 \cdot 1 0^{6}) \cdot (2.2 \cdot 1 0^{4})

(0.34) (5.57 \cdot 1 0^{- 8}) (1120)^{4}

5.67 \cdot 1 0^{- 8} 165 0^{4}

What is ((10)^5)/(5!)e^{-10} ?
The solution to ((10)^5)/(5!)e^{-10} is (2500)/(3e^{10)}