Algebra Examples

$(5.8 \cdot 10^{- 6}) \div (2 \cdot 10^{- 3})$

Step 1

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

$(\frac{5.8}{2}) (\frac{10^{- 6}}{10^{- 3}})$

Step 2

Divide $5.8$ by $2$ .

$2.9 \frac{10^{- 6}}{10^{- 3}}$

Step 3

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

$2.9 \cdot 10^{- 6 - 3 \cdot - 1}$

Step 4

Multiply $- 3$ by $- 1$ .

$2.9 \cdot 10^{- 6 + 3}$

Step 5

Add $- 6$ and $3$ .

$2.9 \cdot 10^{- 3}$