Explain why the exponents cannot be added in the product 12^3 x 11^3

1. Exponent in the given numbers cannot be added because in multiplication law of exponents, it is now allowed to add 3 exponents.

=> Given number 12^3 x 11^3

let’s show how it works

=> (12 x 12 x 12) x (11 x 11 x 11)

=> 1 728 x 1 331

=> 2 299 968

Now, let’s try adding the exponent if it will result to the same product

=> 12^3 x 11^3

=> 132^6

=> (132 x 132 x 132 x 132 x 132 x 132)

=> 5 289 852 801 024 (the answer is wrong)