If (2/3)^n=〖(3/2)〗^2 what is the value of n

Reciprocal is when you interchange the numerator (the number on top in a fraction) with the denominator (the number at the bottom in a fraction). The numerator, is now the denominator and the denominator is the numerator.

For example, the reciprocal of 2 is (1/2)

If you want a reciprocal of a fraction, which is inside a square root, we multiply -1 with the number in the root

For example, 〖(3/2)〗^2   becomes  〖(2/3)〗^-2

Hence n = -2