r = 4*10^8 is the average distance from the earth to the moon (in meters).
m1 = 6*10^24 is the mass of the earth
m2 = 7*10^22 is the mass of the moon
G = 7*10^(-11) is the gravitational constant
Plug those values into the formula shown on the attached image (see below). Then simplify. When doing all that, I get the answer to be 1.8 * 10^20 newtons, so I'm not sure where your teacher is getting 52 as the exponent.