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

Answer 1

To make the two expressions equivalent, we need to find the exponent that, when raised to the power of 6, is equal to 18.

Let's set up an equation:

(16^?)^6 = (16^18)

Now, since the base is the same on both sides (16), we can set the exponents equal to each other:

?^6 = 18

To solve for ?, we need to find the 6th root of 18:

? = ∛18

Therefore, the exponent that would make the two expressions equivalent is the 6th root of 18.