The closest distance between Earth and Mars is approximately 3.39 times 10^7 miles.

The fastest rocket leaving Earth travels at an average speed of approximately 3.6^4 miles per hour.

A. At that rate, which expression could be used to determine the approximate number of hours it would take the rocket to travel from Earth to Mars?

B. How many hours would it take to travel from Earth to Mars?

A. The expression that could be used to determine the approximate number of hours it would take the rocket to travel from Earth to Mars is:

\( \frac{3.39 \times 10^7}{3.6^4} \)

B. Calculating the above expression:

\( \frac{3.39 \times 10^7}{3.6^4} = \frac{3.39 \times 10^7}{1296} \approx 26157.64 \) hours

Therefore, it would take approximately 26157.64 hours for the rocket to travel from Earth to Mars at the given speed.