The decimal expansion of the rational number `(43)/(2^4xx5^3)` will terminate after how many places of decimals?

Explanation

To determine how many places of decimals the decimal expansion of the rational number \( \frac{43}{2^4 \times 5^3} \) will terminate, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the factors of the denominator**:
The denominator is \( 2^4 \times 5^3 \).

2. **Express the denominator in terms of powers of 10**:
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