Question

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

Answer 1

$answer$

if 27823 m has terminating decimal expansion and m is a positive integer. We know if any fraction have terminating decimal expansion then have denominator in form of

2ax5b

So,m = 5,

As m lies between 2 and 9 (2<m<9).