add
(7/w)+(8/w^2)
place each of them on a common denominator of w^2, so it will become (49/w^2) + (8/w^2) = (57/w^2)
Jordan, that is a major error
You don't "square" a fraction in the process of finding a common denominator.
(7/w)+(8/w^2)
= 7w/w^2 + 8/w^2
= (7w+8)/w^2
To simplify the expression (7/w) + (8/w^2), you need to combine the two terms into a single fraction with a common denominator. Let's go step by step:
Step 1: Find a common denominator.
In this case, the common denominator is w^2. Since the first term has a denominator of w and the second term has a denominator of w^2, multiply the first term by w/w and multiply the second term by w^2/w^2 to get a common denominator of w^2.
(7/w) + (8/w^2) = (7w/w^2) + (8w^2/w^2)
Step 2: Combine the two terms.
Now that both terms have the same denominator, we can combine them by adding the numerators together.
(7w + 8w^2) / w^2
So, the simplified expression is (7w + 8w^2) / w^2.