Simplify and write the answer in exponential `(3^(2)xx 3^(4)) div 3^(3)`

Answer

To simplify the expression \( \frac{3^2 \times 3^4}{3^3} \) and write the answer in exponential form, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Expression**:
The expression we need to simplify is \( \frac{3^2 \times 3^4}{3^3} \).

2. **Use the Product of Powers Property**:
According to the property of exponents, when multiplying like bases, we add the exponents. Thus, we can combine \( 3^2 \) and \( 3^4 \):
\[ 3^2 \times 3^4 = 3^{2 + 4} = 3^6 \]

3. **Rewrite the Expression**:
Now, we can rewrite the original expression using the result from step 2:
\[ \frac{3^6}{3^3} \]

4. **Use the Quotient of Powers Property**:
According to the property of exponents for division, when dividing like bases, we subtract the exponents:
\[ \frac{3^6}{3^3} = 3^{6 - 3} = 3^3 \]

5. **Final Answer**:
Therefore, the simplified expression in exponential form is:
\[ 3^3 \]