Use the Product Rule of Exponents to simplify the expression 3^8 ⋅3^3

Answer 1

To simplify the expression 3^8 ⋅3^3 using the Product Rule of Exponents, we add the exponents when multiplying two powers with the same base.

In this case, the base is 3, so applying the Product Rule, we add the exponents:

3^8 ⋅3^3 = 3^(8+3) = 3^11

Therefore, the expression is simplified to 3^11.

Answer 2

Use the Product Rule of Exponents to simplify the expression 7^5 7^2