Final answer:
When q=1, the expression (q³)/(7q - 8) evaluates to -1, which is in simplest form. This result was obtained by substituting q with 1, simplifying the terms, and performing the division.
Step-by-step explanation:
To evaluate the expression for q=1, we simply substitute the value of q into the expression:
(q³)/(7q - 8) = (1³)/(7(1) - 8) = 1/(7 - 8) = 1/(-1) = -1.
When we plug q=1 into the equation, the numerator becomes 1³, which is 1. The denominator becomes 7(1) - 8, which simplifies to -1. Dividing these, we get 1 divided by -1, which is -1. This is the simplest form of the expression when q equals 1.
We followed the steps to eliminate terms wherever possible to simplify the algebra and checked the answer to see if it is reasonable.