Simplify.
28w/7w^3
To simplify the expression 28w/7w^3, we can divide the coefficients and subtract the exponents of the variables.
28w/7w^3 = (28/7)(w/w^3)
(28/7) simplifies to 4 and w/w^3 simplifies to 1/w^2.
Therefore, the simplified expression is 4/w^2.
To simplify the expression 28w/7w^3, we can start by canceling out the common term in the numerator and the denominator, which is w. Simplifying, we get:
28w/7w^3 = (4w * 7) / (w * w * w) = 28w / w^3
Next, we can reduce the fraction by subtracting the exponents in the denominator:
28w / w^3 = 28 / w^(3-1) = 28 / w^2
Therefore, the simplified expression is 28 / w^2.
To simplify the expression 28w/7w^3, we can simplify both the numerator and the denominator separately.
Let's start with the numerator: 28w.
Since w is a common factor in both terms, we can simplify 28w by dividing both 28 and w by w. This simplifies to 28.
Now let's look at the denominator: 7w^3.
Similarly, we can simplify this by dividing both 7w^3 by w. When we divide w^3 by w, we subtract the exponents, which gives us w^2.
Therefore, the simplified expression becomes:
28w/7w^3 = 28/7w^2
At this point, we can simplify further by simplifying the fraction 28/7, which simplifies to 4.
Therefore, the final simplified expression is:
28w/7w^3 = 4w^(-2)
Note: In the final expression, the term w^(-2) represents 1/w^2.