As written, you have
3^2 - 10/4^2 - 12
= 9 - (10/16) - 12 (exponents are evaluated first, then division)
= 8 6/16 - 12 (addition and subtraction are next, left to right)
= -3 10/16
= -3 5/8 (here, we reduce the fraction)
If you intend parentheses, the result is different.
(3^2 - 10)/(4^2 - 12)
= (9-10)/(16-12) (exponents)
= -1/4 (then subtraction)
3^2 - 10/4^2 - 12
= 9 - (10/16) - 12 (exponents are evaluated first, then division)
= 8 6/16 - 12 (addition and subtraction are next, left to right)
= -3 10/16
= -3 5/8 (here, we reduce the fraction)
If you intend parentheses, the result is different.
(3^2 - 10)/(4^2 - 12)
= (9-10)/(16-12) (exponents)
= -1/4 (then subtraction)