Calculus Examples

$2 \cdot \frac{(40.1)}{(6.022 \cdot 10^{23})}$

Step 1

Divide using scientific notation.

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Step 1.1

Group coefficients together and exponents together to divide numbers in scientific notation.

$2 \cdot ((\frac{40.1}{6.022}) (\frac{1}{10^{23}}))$

Step 1.2

Divide $40.1$ by $6.022$ .

$2 \cdot (6.6589173 \frac{1}{10^{23}})$

Step 1.3

Move $10^{23}$ to the numerator using the negative exponent rule $\frac{1}{b^{n}} = b^{- n}$ .

$2 \cdot 6.6589173 \cdot 10^{- 23}$

Step 2

Multiply $2$ by $6.6589173$ .

$13.3178346 \cdot 10^{- 23}$

Step 3

Move the decimal point in $13.3178346$ to the left by $1$ place and increase the power of $10^{- 23}$ by $1$ .

$1.33178346 \cdot 10^{- 22}$