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:
infinite solutions
Step-by-step explanation:
any equation that is like that has infinite solutions such as 7=7 or 2=2
Cost of each pound of dog food = $2 .
Total cost of 9 pounds of dog food = 9 * 2 = $18.
Let us assume number of treats she can buy = t.
Cost of each treat = $1.
Cost of t number of treats = 1*t = 1t .
Total money Cara has = $25.
We can setup an inequality as,
Total cost of dog food + total cost of t number of treats ≤ 25.
18 + 1t ≤ 25.
Subtracting 18 from both sides, we get
18 + 1t -18 ≤ 25-18.
1t ≤ 7 or t ≤ 7.
So, she can purchase 7 or less treats.
Answer:
Increase in the length of one side = 3.8 ft
Step-by-step explanation:
Yossi has garage whose area is 280 ft²
After rebuilt their is increment in area by 50%
New Area = 280 × 150% = 420 ft²
Also we know that Area of Square = (Length) × (Length)
⇒ Length of Newly built garage = √420 = 20.5 ft
and Length of Originally garage = √280 = 16.7 ft
⇒ Increase in the length of one side = 20.5 - 16.7 = 3.8 ft