Finite Math Examples

$\frac{7.2 \cdot 10^{- 5}}{4.5 \cdot 10^{2}}$

Step 1

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

$(\frac{7.2}{4.5}) (\frac{10^{- 5}}{10^{2}})$

Step 2

Divide $7.2$ by $4.5$ .

$1.6 \frac{10^{- 5}}{10^{2}}$

Step 3

Subtract the exponent from the denominator from the exponent of the numerator for the same base

$1.6 \cdot 10^{- 5 + 2 \cdot - 1}$

Step 4

Multiply $2$ by $- 1$ .

$1.6 \cdot 10^{- 5 - 2}$

Step 5

Subtract $2$ from $- 5$ .

$1.6 \cdot 10^{- 7}$