Question

if 278/2^3m has a terminating decimal expansion and m is a positive integer such that 2<m<9 then find the value of m​

Answer 1

Step-by-step explanation:

we know that if denominator contains only 2, only 5 or both 2 and 5 then it will have a terminating decimal expansion.

Also, here given, 2 is less than m and m is less than 9

SO, THE VALUE OF M = 5