What exponent would make the two expressions equivalent: (16^x)^6=(16^18) ?(1 point)
To make the two expressions equivalent, we need to set their exponents equal to each other.
So, we have (16^x)^6 = 16^18.
Multiplying the exponents on the left side, we get 16^(6x) = 16^18.
Since the bases are the same (16), we can set the exponents equal to each other:
6x = 18.
To solve for x, we divide both sides of the equation by 6:
6x/6 = 18/6.
x = 3.
Therefore, the exponent that would make the two expressions equivalent is x = 3.