Pre-Algebra Examples

$\frac{8.4 \cdot 10^{- 7}}{3.5 \cdot 10^{- 6}}$

Step 1

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

$(\frac{8.4}{3.5}) (\frac{10^{- 7}}{10^{- 6}})$

Step 2

Divide $8.4$ by $3.5$ .

$2.4 \frac{10^{- 7}}{10^{- 6}}$

Step 3

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

$2.4 \cdot 10^{- 7 - 6 \cdot - 1}$

Step 4

Multiply $- 6$ by $- 1$ .

$2.4 \cdot 10^{- 7 + 6}$

Step 5

Add $- 7$ and $6$ .

$2.4 \cdot 10^{- 1}$

Step 6

The result can be shown in multiple forms.

Scientific Notation:

$2.4 \cdot 10^{- 1}$

Expanded Form:

$0.24$