If , find x+y.

Since both 2 and 3 are prime numbers, we should find the prime factorization of \(12^2\cdot18^3\). So:

12 = 2*2*3

12=2*2*3

18=2*3*3

18=2*3*3

18=2*3*3

As you see, we have 8 3's and 7 2'. So, 8+7 is \(\boxed{15}\)

 

:)

 

  12²        *      18³

(2*2*3)²   *  (2*3*3)³

2²⁺²⁺³     *   3²⁺³⁺³

2⁷            *    3⁸             now you can  see x and y    (as ilorty found)