Use the Power Rule of Exponents to create a simplified equivalent expression of (12⋅12⋅12)⋅(12⋅12⋅12)
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.
To simplify the expression (12⋅12⋅12)⋅(12⋅12⋅12), we can use the power rule of exponents.
The power rule of exponents states that when multiplying two numbers with the same base, you can add their exponents.
In this case, the base is 12, and we are multiplying two expressions with the same base: 12⋅12⋅12 and 12⋅12⋅12.
The exponents for both expressions are 3, since each expression has three 12s multiplied together.
So, applying the power rule of exponents, we can simplify the expression to:
12^(3+3) = 12^6.
Therefore, the simplified equivalent expression of (12⋅12⋅12)⋅(12⋅12⋅12) is 12^6.
To simplify the expression (12⋅12⋅12)⋅(12⋅12⋅12) using the Power Rule of Exponents, we can combine the repeated factor of 12 raised to the power of 3.
According to the Power Rule of Exponents, when you multiply two numbers with the same base, you can add their exponents. Therefore, (12⋅12⋅12) can be rewritten as 12^3.
So, the expression (12⋅12⋅12)⋅(12⋅12⋅12) can be simplified as 12^3⋅12^3.
Applying the power rule again, we add the exponents: 3 + 3 = 6.
Therefore, the simplified equivalent expression is 12^6.