What is (0.000124^{12})/(12!)*e^{-0.000124} ?

The solution to (0.000124^{12})/(12!)*e^{-0.000124} is 2.75848E-56

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (0.000124^{12})/(12!)*e^{-0.000124}

simplify

\frac{0.00012 4 ^{12}}{12 !} \cdot e^{- 0.000124}

2.75848 E - 56

Solution steps

\frac{0.00012 4 ^{12}}{12 !} e^{- 0.000124}

Apply exponent rule:

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

= \frac{1}{e ^{0.000124}} \cdot \frac{0.00012 4 ^{12}}{12 !}

Multiply fractions:

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

= \frac{0.00012 4 ^{12} \cdot 1}{12 ! e ^{0.000124}}

Multiply:

0.00012 4^{12} \cdot 1 = 0.00012 4^{12}

= \frac{0.00012 4 ^{12}}{e ^{0.000124} \cdot 12 !}

0.00012 4^{12} = 1.32148 E - 47

= \frac{1.32148 E - 47}{e ^{0.000124} \cdot 12 !}

12! e^{0.000124} = 479001600 e^{0.000124}

= \frac{1.32148 E - 47}{479001600 e ^{0.000124}}

e^{0.000124} = 1.00012 \dots

= \frac{1.32148 E - 47}{479001600 \cdot 1.00012 \dots}

Multiply the numbers:

479001600 \cdot 1.00012 \dots = 479060999.88111 \dots

= \frac{1.32148 E - 47}{479060999.88111 \dots}

Divide the numbers:

\frac{1.32148 E - 47}{479060999.88111 \dots} = 2.75848 E - 56

= 2.75848 E - 56

2.25 \cdot 1 0^{- 4}

3290000 \cdot e^{(- 0.002 \cdot 39)}

4 (2 x - 2) x - 1 \cdot 3 x + 1

2.25 \cdot 1 0^{- 3}

What is (0.000124^{12})/(12!)*e^{-0.000124} ?
The solution to (0.000124^{12})/(12!)*e^{-0.000124} is 2.75848E-56