Evaluate Using Scientific Notation (3.510^-3)/(510^-9)

$\frac{3.5 \cdot 10^{- 3}}{5 \cdot 10^{- 9}}$

Step 1

Divide using scientific notation.

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

$(\frac{3.5}{5}) (\frac{10^{- 3}}{10^{- 9}})$

Divide $3.5$ by $5$ .

$0.7 \frac{10^{- 3}}{10^{- 9}}$

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

$0.7 \cdot 10^{- 3 - 9 \cdot - 1}$

Multiply $- 9$ by $- 1$ .

$0.7 \cdot 10^{- 3 + 9}$

Add $- 3$ and $9$ .

$0.7 \cdot 10^{6}$

Step 2

Move the decimal point in $0.7$ to the right by $1$ place and decrease the power of $10^{6}$ by $1$ .

$7 \cdot 10^{5}$

Evaluate Using Scientific Notation (3.5*10^-3)/(5*10^-9)