Question

After how many decimals places will be decimal expansion of
$\frac{23}{ {2}^{4} \times {5}^{3} }$
Terminate ?​

Answer 1

23/(2^4×5^3)

$= \frac{23 \times 5}{ {2}^{4 } \times {5}^{4} } = \frac{115}{ {10}^{4} }$

Thus it will terminate after 4 decimal places

Answer 2

Till 4 decimal places
Reason: as the highest coefficient is 4