What is (36^{30})/(30!)e^{-30} ?

The solution to (36^{30})/(30!)e^{-30} is (36^{30})/(2.65253E32e^{30)}

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simplify (36^{30})/(30!)e^{-30}

simplify

\frac{3 6 ^{30}}{30 !} e^{- 30}

\frac{3 6 ^{30}}{2.65253 E 32 e ^{30}}

Decimal Notation

17.24171 \dots

Solution steps

\frac{3 6 ^{30}}{30 !} e^{- 30}

Apply exponent rule:

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

= \frac{1}{e ^{30}} \cdot \frac{3 6 ^{30}}{30 !}

Multiply fractions:

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

= \frac{3 6 ^{30} \cdot 1}{30 ! e ^{30}}

Multiply:

3 6^{30} \cdot 1 = 3 6^{30}

= \frac{3 6 ^{30}}{e ^{30} \cdot 30 !}

30! e^{30} = 2.65253 E 32 e^{30}

= \frac{3 6 ^{30}}{2.65253 E 32 e ^{30}}

w - 2 \cdot w + 4

(6 x^{2}) \cdot (4 x^{2})

1.646386755 \cdot 1 0^{- 3}

\frac{50 0 ^{500}}{100 0 ^{500}}

What is (36^{30})/(30!)e^{-30} ?
The solution to (36^{30})/(30!)e^{-30} is (36^{30})/(2.65253E32e^{30)}