Simplify :
`(x^(5) div x^(2)) xx y^(2) xx y^(3)`

Answer

To simplify the expression `(x^(5) div x^(2)) xx y^(2) xx y^(3)`, we can follow these steps:

### Step 1: Rewrite the Division
We start with the expression:
\[ \frac{x^5}{x^2} \cdot y^2 \cdot y^3 \]

### Step 2: Apply the Quotient Rule for Exponents
Using the quotient rule for exponents, which states that \(\frac{a^m}{a^n} = a^{m-n}\), we can simplify \(\frac{x^5}{x^2}\):
\[ x^{5-2} = x^3 \]

### Step 3: Combine the y Terms
Next, we combine the \(y\) terms. We use the product rule for exponents, which states that \(a^m \cdot a^n = a^{m+n}\):
\[ y^2 \cdot y^3 = y^{2+3} = y^5 \]

### Step 4: Combine the Results
Now we can combine the results from Step 2 and Step 3:
\[ x^3 \cdot y^5 \]

### Final Answer
Thus, the simplified expression is:
\[ \boxed{x^3 y^5} \]