Simplify :
`x^(5) div x^(7) xx x^(4)`

Answer

To simplify the expression \( \frac{x^5}{x^7} \times x^4 \), we can follow these steps:

### Step 1: Rewrite the expression
We start with the expression:
\[ \frac{x^5}{x^7} \times x^4 \]

### Step 2: Apply the division rule of exponents
According to the laws of exponents, when dividing like bases, we subtract the exponents:
\[ \frac{x^m}{x^n} = x^{m-n} \]
So we can simplify \( \frac{x^5}{x^7} \) as follows:
\[ \frac{x^5}{x^7} = x^{5-7} = x^{-2} \]

### Step 3: Rewrite the expression with the simplified division
Now we can substitute back into the expression:
\[ x^{-2} \times x^4 \]

### Step 4: Apply the multiplication rule of exponents
According to the laws of exponents, when multiplying like bases, we add the exponents:
\[ x^m \times x^n = x^{m+n} \]
So we can simplify \( x^{-2} \times x^4 \) as follows:
\[ x^{-2} \times x^4 = x^{-2 + 4} = x^{2} \]

### Final Answer
Thus, the simplified expression is:
\[ x^2 \]

---