Without performing division, determine whether the decimal expansion of \(\frac{3}{15625}\) is terminating or non-terminating. If it terminates, state the number of decimal places.
 
Answer:
 
The prime factors of \(15625\) is ii.
 
The decimal expansion of \(\frac{3}{15625}\) is .
 
The number of decimal places equals the highest power of needed in the denominator.
 
The decimal expansion terminates after decimal places.