Question 418720

((8^x)(9^2y))=81(2^12y)

=> 2^(3x) * 3^(4y) = 3^4 * 2^(12y)

here we use only exponential value at prime numbers.

now compare exponential value....

3x = 12 y 

and 4y = 4 

so, after solving these two equations,  y = 1 ,  x = 4