Use the Power Rule of Exponents to create a simplified equivalent expression of (12⋅12⋅12)⋅(12⋅12⋅12)

1 answer

Using the Power Rule of Exponents, we can write 12⋅12⋅12 as 12^3. We can rewrite the expression as (12^3)⋅(12^3).

To simplify this expression, we add the exponents of the same base (12) when multiplying.

So, (12^3)⋅(12^3) can be written as 12^(3+3).

Simplifying further, 3+3 is equal to 6.

Therefore, the simplified expression is 12^6.