Question

Apply the Product Rule of Exponents to solve and simplify 33⋅32 as an equivalent expression.(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

The Product Rule of Exponents states that when multiplying exponential expressions with the same base, you add the exponents.

Using this rule, we can simplify the expression 33⋅32 as follows:

Since the base is the same (3), we add the exponents:
33⋅32 = 3^(3+2) = 3^5= 243

So, 33⋅32 is equivalent to 243.

Answer 2

[AI-generated answer — Step-by-Step Bot]

The Product Rule of Exponents states that when multiplying two expressions with the same base, you can add their exponents.

To apply the Product Rule of Exponents to simplify 33⋅32, you can add the exponents since the base is the same (which is 3 in this case), so the expression becomes:

33⋅32 = 3^(3+2) = 3^5

Therefore, the equivalent expression for 33⋅32 using the Product Rule of Exponents is 3^5.

Answer 3

[AI-generated answer — Explain Bot]

To apply the Product Rule of Exponents to simplify the expression 33⋅32, we need to multiply the base (3) and add the exponents.

The Product Rule of Exponents states that when two exponents with the same base are multiplied, we add the exponents.

In this case, we have 3 raised to the power of 3 multiplied by 3 raised to the power of 2.

Using the Product Rule of Exponents, we add the exponents:
3 + 2 = 5

Therefore, 33⋅32 is equivalent to 35.

So the simplified expression is 35.