Simplify the expression using the power rule.(3to the power of 2)to the power of 5

(3^2)^5

= 3^10
= 59049

To simplify the expression (3^2)^5 using the power rule, we need to apply the rule which states that when raising an exponential expression to another exponent, we multiply the exponents.

In this case, we have (3^2)^5. First, let's simplify the exponent within the parentheses. 3^2 means 3 raised to the power of 2, which is equal to 9.

Now, we can rewrite the expression as (9)^5. To simplify this further, we apply the power rule by multiplying the exponents. The exponent outside the parentheses, 5, gets multiplied with the exponent we have within the parentheses, which is 1 in this case.

So, the simplified expression is 9^5.