What exponent would make the two expressions equivalent: (16^x)^6=(16^18) ?(1 point)

Answer 1

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.