^use the product rule of exponents to simplify the expression 3^5 ⋅ 3^7

Answer 1

To simplify the expression 3^5 ⋅ 3^7 using the product rule of exponents, we add the exponents when multiplying powers with the same base.

So, 3^5 ⋅ 3^7 can be simplified as follows:

3^5 ⋅ 3^7 = 3^(5+7) = 3^12

Therefore, the simplified expression is 3^12.