A rocket ship is travelling at an average speed of 1.75 × 104 miles per hour. How many miles will the rocket ship travel in 1.2 × 102 hours? 1. Write the expression: (1.75 × 104)(1.2 × 102)

2. Rearrange the expression: (1.75 × 1.2)(104 × 102)

3. Multiply the coefficients: (2.1)(104 × 102)

4. Apply the product of powers: 2.1 × 10y

The rocket ship will travel 2.1 × 10y miles. What is the value of y in the solution?

y =

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