Step 1 :Given the expression: \(\left(3^{2}\right)\left(3^{5}\right)\)
Step 2 :Use the rule of exponents: \(a^{m} * a^{n} = a^{m+n}\)
Step 3 :Apply the rule to the given expression: \(3^{2} * 3^{5} = 3^{2+5}\)
Step 4 :Add the exponents: \(3^{7}\)
Step 5 :Calculate the final result: \(3^{7} = 2187\)
Step 6 :\(\boxed{2187}\)