Question

what can you say about the prime factorisation of the denominator of the rational number 0.134 when written in the form p/q. IS it of the form 2m x 5n. IF yes write the value of m and n

Answer 1

Hey :)==
first write the decimal number 0.134 in the form of p/q
since there are 3 numbers after decimal the required number is rational is=
0.134=134/1000=67/500
the number in the denominator is 500=2*2*5*5*5
compare with $2^{m} * 5^{n}$
m=2 n=3