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 simplify the expression as follows:
(12⋅12⋅12)⋅(12⋅12⋅12)
= (12^3)⋅(12^3)
= 12^(3+3) (applying the rule: a^m⋅a^n = a^(m+n))
= 12^6
Therefore, the expression (12⋅12⋅12)⋅(12⋅12⋅12) can be simplified to 12^6.
What exponent would make the two expressions equivalent: (16x)6=(1618)?(1 point)
To make the two expressions (16x)⁶ and (16¹⁸) equivalent, the exponent would need to be 18.
Therefore, (16x)⁶ = (16¹⁸) when the exponent is 18.
To simplify the expression (12⋅12⋅12)⋅(12⋅12⋅12) using the Power Rule of Exponents, we can rewrite it as (12^3)⋅(12^3).
The Power Rule of Exponents states that when you have a power raised to another power, you can multiply the exponents:
(a^m)^n = a^(m*n).
In this case, since we have the same base 12 raised to the power of 3, we can multiply the exponents:
(12^3)⋅(12^3) = 12^(3+3)
Simplifying further:
12^6
Therefore, the simplified expression is 12^6.