The decimal expansion of the rational number $\frac{43}{2^4 5^3}$ will terminate after how many places of decimals?

The given expression  $\frac{43}{2^4 5^3}$ can be rewritten as:

 $\frac{43}{2^4 5^3}=\frac{43}{(2\times 5)\times (2\times 5)\times (2\times 5)\times 2}$ 

$=\frac{43}{1000\times 2}$

$=\frac{0.043}{2}$

Now, on dividing 0.043 by 2, we obtain $\frac{0.043}{2}$ = 0.0215 

Thus, the given expression will terminate after 4 decimal places.