Final answer:
The question requires calculating the gravitational force between two asteroids using Newton's law of universal gravitation. Due to incomplete scientific notation in the question, the exact calculation cannot be completed without the correct powers of 10 for the given values.
Step-by-step explanation:
The question asks to calculate the force of gravity between two asteroids with given masses and distance between them. Calculating this force involves Newton's law of universal gravitation. The formula to find the gravitational force (F) is F = G * (m1 * m2) / r^2, where G is the gravitational constant (6.674×10^-11 N·m^2/kg^2), m1 and m2 are the masses of the two objects, and r is the distance between the centers of the two masses.
Using the information provided, although incomplete, we can assume that the masses would be correctly given as 6.3×10^x kg and 5.4×10^y kg with x and y being powers of 10, and the distance as 3.2×10^z meters, also where z is the power of 10. One would plug these values into the formula to compute the force.
Since the values of x, y, and z are not properly specified in the question, it is not possible to calculate an answer here. As tutors, we must note that having the complete and correct values of scientific notation is crucial to conduct accurate calculations in physics.