To convert meters to miles using the conversion factor that there are approximately \(1.6 \times 10^3\) meters in a mile, you can use the following formula:
\[ \text{miles} = \frac{\text{meters}}{\text{meters per mile}} = \frac{3.52 \times 10^7}{1.6 \times 10^3} \]
Now perform the division:
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Divide the coefficients: \[ \frac{3.52}{1.6} = 2.2 \]
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Subtract the exponents (using the property of exponents that \(\frac{10^a}{10^b} = 10^{a-b}\)): \[ 10^{7 - 3} = 10^4 \]
Combining these results: \[ \text{miles} = 2.2 \times 10^4 \]
Thus, there are approximately \(2.2 \times 10^4\) miles in \(3.52 \times 10^7\) meters.