What exponent would make the two expressions equivalent: (16^x)6=(16^18)

Answer 1

To find the exponent that would make the two expressions equivalent, we can set the exponents equal to each other and solve for x.

(16^x)6 = (16^18)

Divide both sides of the equation by 6:

16^x = (16^18) / 6

Now, since the bases of both sides are the same (16), we can set the exponents equal to each other:

x = 18 / 6

Simplifying the right side of the equation:

x = 3

Therefore, the exponent that would make the two expressions equivalent is x = 3.