Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

Using the Power Rule of Exponents, we can simplify the expression as follows:

(12⋅12⋅12)⋅(12⋅12⋅12)

= (12^3)⋅(12^3)

= 12^(3+3)

= 12^6

Therefore, the simplified equivalent expression is 12^6.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To simplify the expression (12⋅12⋅12)⋅(12⋅12⋅12) using the Power Rule of Exponents, we can combine the factors with the same base, 12, by adding their exponents.

We have (12⋅12⋅12) = (12^3) and (12⋅12⋅12) = (12^3).

So, we can rewrite the expression as (12^3)⋅(12^3).

To multiply two numbers with the same base, we add their exponents. Therefore, (12^3)⋅(12^3) = 12^(3+3) = 12^6.

Thus, the simplified equivalent expression is 12^6.