What is (15^{20})/(20!)e^{-15} ?

The solution to (15^{20})/(20!)e^{-15} is (15^{20})/(2.4329E18e^{15)}

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simplify (15^{20})/(20!)e^{-15}

simplify

\frac{1 5 ^{20}}{20 !} e^{- 15}

\frac{1 5 ^{20}}{2.4329 E 18 e ^{15}}

Decimal Notation

0.04181 \dots

Solution steps

\frac{1 5 ^{20}}{20 !} e^{- 15}

Apply exponent rule:

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

= \frac{1}{e ^{15}} \cdot \frac{1 5 ^{20}}{20 !}

Multiply fractions:

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

= \frac{1 5 ^{20} \cdot 1}{20 ! e ^{15}}

Multiply:

1 5^{20} \cdot 1 = 1 5^{20}

= \frac{1 5 ^{20}}{e ^{15} \cdot 20 !}

20! e^{15} = 2.4329 E 18 e^{15}

= \frac{1 5 ^{20}}{2.4329 E 18 e ^{15}}

159.39 e^{(- 0.244 \cdot 5.3)}

2.3 \cdot 1 0^{- 1}

\frac{1}{1000 π ( 0.01 \cdot 1 0 ^{- 6} )} \cdot 8.8635 \cdot 1 0^{- 5}

4 \cdot π \cdot (10 \cdot 3.09 \cdot 1 0^{22})^{2} \cdot 2.2 \cdot 1 0^{- 16}

x in t erce pt \frac{3 x ^{3} - 4 x ^{2} - 12 x + 16}{3 x ^{2} + 5 x - 2}

What is (15^{20})/(20!)e^{-15} ?
The solution to (15^{20})/(20!)e^{-15} is (15^{20})/(2.4329E18e^{15)}