Use the Power Rule of Exponents to create a simplified equivalent expression of (12⋅12⋅12)⋅(12⋅12⋅12).(1 point)
Using the power rule, we can simplify the expression as:
(12^3) * (12^3)
Since the bases are the same, we can simply add the exponents:
12^(3+3)
And simplifying further, we get:
12^6
To simplify the expression (12⋅12⋅12)⋅(12⋅12⋅12) using the Power Rule of Exponents, we can add the exponents of the bases that are multiplied together.
Each 12 in the expression can be written as 12^1, so we have:
(12^1 ⋅ 12^1 ⋅ 12^1) ⋅ (12^1 ⋅ 12^1 ⋅ 12^1)
Now, we can apply the Power Rule of Exponents which states that when multiplying two numbers with the same base, we add the exponents.
Therefore, the simplified expression is:
12^(1+1+1) ⋅ 12^(1+1+1)
Simplifying the exponents, we get:
12^3 ⋅ 12^3
Finally, we use the Power Rule of Exponents again to multiply the two terms with the same base:
12^(3+3)
Therefore, the simplified expression is:
12^6