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

Answer 1

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.

Answer 2

What exponent would make the two expressions equivalent: (16x)6=(1618)?(1 point)

Answer 3

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.