<span>y ≥ 0 is the range of this absolute value expression because the absolute value means x can never go below 0 and range means the y value, which here is equivalent to |x|</span>
Ahh yes, negative exponents always give us a scare once and a while. All the negative means is to flip the position of its base. For instance, if x has a negative exponent and x in the denominator, all you would have to do is move x to the numerator with the same power (except it's no longer negative). Before we substitute x and all the other variables which the values given, let's eliminate the negatives first.
After flipping positions/eliminating the negative exponents it should look like this:

which simplifies to

now that everything is simplified, and all negative exponents are eliminated we can substitute x with 2, and y with (-4).

which simplifies to

Final Answer: - \frac{1}{32} [/tex]
Answer:
-12a³b²c ( 2bc² + 7a)
Step-by-step explanation:
To factorize, we must separate the highest common factors between the products that make up the given expression. To get the highest common factor between the two products,
-24a3b3c3 = -2 * 2 *2 * 3 * a³ *b² *b * c² * c
- 84a4b2c = -2 * 2 *3 * 7 * a³ * a *b² * c
The common elements are -2, 2, 3, a³, b², c
The product of the common elements
= -12a³b²c
Hence, factorizing
-24a3b3c3 - 84a4b2c = -12a³b²c ( 2bc² + 7a)
The area is length x width which means it would be 14 x 8
14 x 8 = 112 so the area of the rectangle is 112 square ft.