Question

Without actually performing the long division state 129/2² 5³ will have a terminating or non terminating repeating decimal expansion

Answer 1

129/2²5^3 is on the form p/q where q = 2^m*5^n where n & m are non-negative integers.

Therefore, it will have terminating decimal expansion

Answer 2

Answer:

129/(2² 5³) =  (129/(5×(10)²)

=> 1.29/5

since, any number when divided by 5 fetches us terminating decimal expression, hence the the above expression will have terminating decimal expansion.