Pre-Algebra Examples

$\frac{5.2 \cdot 10^{- 3}}{2.6 \cdot 10^{4}}$

Step 1

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

$(\frac{5.2}{2.6}) (\frac{10^{- 3}}{10^{4}})$

Step 2

Divide $5.2$ by $2.6$ .

$2 \frac{10^{- 3}}{10^{4}}$

Step 3

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

$2 \cdot 10^{- 3 + 4 \cdot - 1}$

Step 4

Multiply $4$ by $- 1$ .

$2 \cdot 10^{- 3 - 4}$

Step 5

Subtract $4$ from $- 3$ .

$2 \cdot 10^{- 7}$