What is 30*1/12*(1.325*10^{-18})*(6.022*10^{23}) ?

The solution to 30*1/12*(1.325*10^{-18})*(6.022*10^{23}) is 1994787.5

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simplify 301/12(1.32510^{-18})(6.022*10^{23})

simplify

30 \cdot \frac{1}{12} \cdot (1.325 \cdot 1 0^{- 18}) \cdot (6.022 \cdot 1 0^{23})

1994787.5

Solution steps

30 \cdot \frac{1}{12} (1.325 \cdot 1 0^{- 18}) (6.022 \cdot 1 0^{23})

Apply exponent rule:

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

= 1 0^{23} \cdot 30 \cdot 1.325 \cdot 6.022 \cdot \frac{1}{12} \cdot \frac{1}{1 0 ^{18}}

Multiply fractions:

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

= 1.325 \cdot 6.022 \cdot \frac{1 0 ^{23} \cdot 1 \cdot 1 \cdot 30}{1 0 ^{18} \cdot 12}

\frac{1 \cdot 1 \cdot 30 \cdot 1 0 ^{23}}{12 \cdot 1 0 ^{18}} = 250000

= 250000 \cdot 1.325 \cdot 6.022

Multiply the numbers:

1.325 \cdot 6.022 \cdot 250000 = 1994787.5

= 1994787.5

e^{7}

a \cdot (e^{- (\frac{( x - b )}{c})})^{2}

(x^{4} + 4)^{- \frac{1}{2}}

- e^{- x} (x^{2} + 2 x + 2)

What is 30*1/12*(1.325*10^{-18})*(6.022*10^{23}) ?
The solution to 30*1/12*(1.325*10^{-18})*(6.022*10^{23}) is 1994787.5