Pre-Algebra Examples

$\frac{6 \cdot 10^{5}}{3 \cdot 10^{- 2}}$

Step 1

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

$(\frac{6}{3}) (\frac{10^{5}}{10^{- 2}})$

Step 2

Divide $6$ by $3$ .

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

Step 3

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

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

Step 4

Multiply $- 2$ by $- 1$ .

$2 \cdot 10^{5 + 2}$

Step 5

Add $5$ and $2$ .

$2 \cdot 10^{7}$

Step 6

The result can be shown in multiple forms.

Scientific Notation:

$2 \cdot 10^{7}$

Expanded Form:

$20000000$