Finite Math Examples

$\frac{9.2 \cdot 10^{- 8}}{2 \cdot 10^{- 6}}$

Step 1

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

$(\frac{9.2}{2}) (\frac{10^{- 8}}{10^{- 6}})$

Step 2

Divide $9.2$ by $2$ .

$4.6 \frac{10^{- 8}}{10^{- 6}}$

Step 3

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

$4.6 \cdot 10^{- 8 - 6 \cdot - 1}$

Step 4

Multiply $- 6$ by $- 1$ .

$4.6 \cdot 10^{- 8 + 6}$

Step 5

Add $- 8$ and $6$ .

$4.6 \cdot 10^{- 2}$

Step 6

The result can be shown in multiple forms.

Scientific Notation:

$4.6 \cdot 10^{- 2}$

Expanded Form:

$0.046$