Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the exponent that would make the two expressions equivalent, we can use the property of exponents that states (a^b)^c = a^(b*c).

In this case, we have (16^x)^6. Applying the property, we get 16^(x * 6) = 16^(6x).

We want this to be equal to 16^18. So, we set 6x = 18.

Dividing both sides of the equation by 6, we get x = 3.

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