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

The solution to e^{-5}*(5^{10})/(10!) is (390625)/(145152e^5)

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

simplify

e^{- 5} \cdot \frac{5 ^{10}}{10 !}

\frac{390625}{145152 e ^{5}}

Decimal Notation

0.01813 \dots

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot 5^{10} = 5^{10}

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

5^{10} = 9765625

= \frac{9765625}{e ^{5} \cdot 10 !}

e^{5} \cdot 10! = 3628800 e^{5}

= \frac{9765625}{3628800 e ^{5}}

Cancel the common factor:

25

= \frac{390625}{145152 e ^{5}}

1 (e^{- 3 x})

(e^{- 5 ∣ t ∣})^{2}

2 x \cdot e^{3} x

e^{- 389.99} \cdot 38598638

600 e^{- 0.069 (3)}

What is e^{-5}*(5^{10})/(10!) ?
The solution to e^{-5}*(5^{10})/(10!) is (390625)/(145152e^5)