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To find the exponent that would make the two expressions equivalent, we can set the powers of the base (16) equal to each other.
So, if (16^x)^6 = (16^18), then we can set the exponents equal to each other:
x*6 = 18
Now we can solve for x by dividing both sides of the equation by 6:
x = 18/6
x = 3
Therefore, the exponent that makes the two expressions equivalent is 3.