Use the Product Rule of Exponents to simplify the expression 38 ⋅33.(1 point)

1 answer

The Product Rule of Exponents states that when two numbers with the same base are multiplied together, you can add their exponents.

In this expression, the base is 3 and the exponents are 8 and 3.

Using the Product Rule of Exponents, we can simplify the expression as follows:

38 ⋅ 33 = 3^8 ⋅ 3^3

Now, we can add the exponents:

= 3^(8 + 3)

= 3^11