Use the Product Rule of Exponents to simplify the expression 38 ⋅33.(1 point)
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
To simplify the expression 38 ⋅ 33 using the Product Rule of Exponents, we add the exponents of the same base, which is 3 in this case.
The expression 38 ⋅ 33 can be written as (3^8) ⋅ (3^3).
Using the Product Rule, we add the exponents: 8 + 3 = 11.
Therefore, the expression 38 ⋅ 33 simplifies to 3^11.