To find out how many miles are in \(3.52 \times 10^7\) meters, we can use the conversion factor \(1.6 \times 10^3\) meters per mile.
First, we can set up the calculation as follows:
\[ \text{Miles} = \frac{\text{Meters}}{\text{Meters per mile}} = \frac{3.52 \times 10^7 \text{ meters}}{1.6 \times 10^3 \text{ meters/mile}} \]
Now, perform the division. First, divide the coefficients:
\[ \frac{3.52}{1.6} = 2.2 \]
Next, divide the powers of ten:
\[ \frac{10^7}{10^3} = 10^{7 - 3} = 10^4 \]
Now, combine the results:
\[ \text{Miles} = 2.2 \times 10^4 \]
Thus, the number of miles in \(3.52 \times 10^7\) meters, expressed in scientific notation, is
\[ \boxed{2.2 \times 10^4} \]