The Moon (mass = 7.35 x 1022 kg) is = 3.84 x 108 m from the Earth (mass = 5.98 x 1024 kg). How much gravitational force do they exert on each other?

Answer 1

Use the law of gravitation: F=G(m₁m₂)/r²

Easy peasy. It will also help if you draw a diagram showing the forces (free body diagram). Technically, as force is a vector, you should do that as part of your solution, so as to show both the magnitude and direction of the forces.