Simplify : `((25)^(3/2)*(243)^(3/5))/((16)^(5/4)*(8)^(4/3))`

Explanation

To simplify the expression \(\frac{(25)^{3/2} \cdot (243)^{3/5}}{(16)^{5/4} \cdot (8)^{4/3}}\), we can follow these steps:

### Step 1: Rewrite the bases as powers of prime numbers
- \(25 = 5^2\)
- \(243 = 3^5\)
- \(16 = 2^4\)
- \(8 = 2^3\)

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