Evaluate Using Scientific Notation (1.110^-3)/(5.510^-8)

$\frac{1.1 \cdot 10^{- 3}}{5.5 \cdot 10^{- 8}}$

Step 1

Divide using scientific notation.

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

$(\frac{1.1}{5.5}) (\frac{10^{- 3}}{10^{- 8}})$

Divide $1.1$ by $5.5$ .

$0.2 \frac{10^{- 3}}{10^{- 8}}$

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

$0.2 \cdot 10^{- 3 - 8 \cdot - 1}$

Multiply $- 8$ by $- 1$ .

$0.2 \cdot 10^{- 3 + 8}$

Add $- 3$ and $8$ .

$0.2 \cdot 10^{5}$

Step 2

Move the decimal point in $0.2$ to the right by $1$ place and decrease the power of $10^{5}$ by $1$ .

$2 \cdot 10^{4}$

Evaluate Using Scientific Notation (1.1*10^-3)/(5.5*10^-8)