Simplify : `(3/5)^(5)xx(3/5)^(6)div (3/5)^(3)`.

Answer

To simplify the expression \((\frac{3}{5})^{5} \times (\frac{3}{5})^{6} \div (\frac{3}{5})^{3}\), we can follow these steps:

### Step 1: Rewrite the expression
We can rewrite the expression as:
\[ \frac{(\frac{3}{5})^{5} \times (\frac{3}{5})^{6}}{(\frac{3}{5})^{3}} \]

### Step 2: Apply the property of exponents
According to the property of exponents, when we multiply two powers with the same base, we add the exponents. Thus, we can combine the powers in the numerator:
\[ (\frac{3}{5})^{5} \times (\frac{3}{5})^{6} = (\frac{3}{5})^{5 + 6} = (\frac{3}{5})^{11} \]

### Step 3: Substitute back into the expression
Now substitute back into the expression:
\[ \frac{(\frac{3}{5})^{11}}{(\frac{3}{5})^{3}} \]

### Step 4: Apply the division property of exponents
When we divide two powers with the same base, we subtract the exponents:
\[ \frac{(\frac{3}{5})^{11}}{(\frac{3}{5})^{3}} = (\frac{3}{5})^{11 - 3} = (\frac{3}{5})^{8} \]

### Final Answer
Thus, the simplified expression is:
\[ (\frac{3}{5})^{8} \]

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