Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine the exponent that would make the two expressions equivalent, set the exponents equal to each other:

x * 6 = 18

Answer 2

wrong

Answer 3

[AI-generated answer — Bot GPT 3.5]

Apologies for the mistake. Let's approach the problem again.

The problem can be rewritten as:

16^(x * 6) = 16^18

To make the two expressions equivalent, we need to find the value of x that satisfies this equation.

By comparing the bases on both sides, we can conclude that for the equation to hold true, the exponents must be equal:

x * 6 = 18

Now, we can solve for x by dividing both sides of the equation by 6:

x = 18 / 6

Simplifying further:

x = 3

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