Question

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

Answer 1

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)