What is the simplified expression for 3 power 3 multiplied by 3 power 3 over 3 power 4?

To simplify the expression (3³ * 3³) / 3⁴, we can use the laws of exponents.

First, let’s simplify the numerator:

3³ * 3³ can be combined because of the product of powers rule, which states that when multiplying like bases, we add the exponents. So:

3³ * 3³ = 3³⁺³ = 3⁶

Now, our expression looks like this:

3⁶ / 3⁴

Next, we apply the quotient of powers rule, which states that when dividing like bases, we subtract the exponents:

3⁶ / 3⁴ = 3^6-4 = 3²

Finally, we calculate 3²:

3² = 9

So, the simplified expression for (3³ * 3³) / 3⁴ is 9.