What is (0.6^{10})/(10!)*e^{-0.6} ?

The solution to (0.6^{10})/(10!)*e^{-0.6} is 9.14477E-10

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simplify (0.6^{10})/(10!)*e^{-0.6}

simplify

\frac{0. 6 ^{10}}{10 !} \cdot e^{- 0.6}

9.14477 E - 10

Solution steps

\frac{0. 6 ^{10}}{10 !} e^{- 0.6}

Apply exponent rule:

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

= \frac{1}{e ^{0.6}} \cdot \frac{0. 6 ^{10}}{10 !}

Multiply fractions:

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

= \frac{0. 6 ^{10} \cdot 1}{10 ! e ^{0.6}}

Multiply:

0. 6^{10} \cdot 1 = 0. 6^{10}

= \frac{0. 6 ^{10}}{e ^{0.6} \cdot 10 !}

0. 6^{10} = 0.0060466176

= \frac{0.0060466176}{e ^{0.6} \cdot 10 !}

10! e^{0.6} = 3628800 e^{0.6}

= \frac{0.0060466176}{3628800 e ^{0.6}}

e^{0.6} = 1.82211 \dots

= \frac{0.0060466176}{3628800 \cdot 1.82211 \dots}

Multiply the numbers:

3628800 \cdot 1.82211 \dots = 6612104.70285 \dots

= \frac{0.0060466176}{6612104.70285 \dots}

Divide the numbers:

\frac{0.0060466176}{6612104.70285 \dots} = 9.14477 E - 10

= 9.14477 E - 10

(1 + x^{2} \cdot 2 x)^{2}

x^{2} \cdot (x - 2)^{2}

\frac{1}{2 π} e^{- \frac{0. 7 ^{2}}{2}}

(33.57) \cdot (4.3 \cdot 1 0^{- 4})

What is (0.6^{10})/(10!)*e^{-0.6} ?
The solution to (0.6^{10})/(10!)*e^{-0.6} is 9.14477E-10