Final answer:
The force between the exoplanet and its moon is 2.24 x 10^11 N.
Step-by-step explanation:
To calculate the force between the exoplanet and its moon, we can use Newton's law of gravitation:
F = G * (m1 * m2) / r^2
Where F is the force, G is the gravitational constant (6.674 x 10^-11 Nm^2/kg^2), m1 and m2 are the masses of the exoplanet and its moon respectively, and r is the distance between them.
Plugging in the given values:
F = (6.674 x 10^-11 Nm^2/kg^2) * (4.99 x 10^22 kg) * (6.91 x 10^18 kg) / (5.12 x 10^5 m)^2
F = 2.24 x 10^11 N