According to the rules of exponents, what is the result of multiplying 3^2 by 3^5?

When multiplying powers with the same base, you apply the rule of exponents that states you add the exponents together. In this case, both terms have the base of 3. You have (3^2) and (3^5).

To find the product, you add the exponents:

[

3^2 \times 3^5 = 3^{(2+5)} = 3^7

]

Thus, the result of multiplying (3^2) by (3^5) is (3^7). This reflects the fundamental property of exponents that allows for the simplification of expressions when multiplying like bases.