Answer:
After simplifying, the exponent of x is 33 and the exponent of y is 0
Step-by-step explanation:
For us to simplify, we bring the x base together and the y base together
Recall from the law of indices;
x^a/x^b = x^(a-b)
and x^a * x^b = x^(a + b)
We shall be applying these here
Let us bring the x terms together
we have these as;
x^8/x^14 * 1/x^-39 = x^( 8 - 14 -(-39))
= x^(8 + 39-14) = x^33
for y, we have it that;
y^-26/y^-5 * 1/y^-21
= y^(-26 -(-5) - (-21)
= y^-26 + 5 + 21 = y^0
Answer:
Approximately 4.67 feet of fabric is required for one pillow case.
Step-by-step explanation:
We are given the following in the question:
Number of pillow cases to be made by Jenny = 3
Amount of fabric Jenny has = 14 feet
Each pillow case use same amount of fabric.
Amount of fabric used to make 1 pillow case =
![=\dfrac{\text{Amount of fabric}}{\text{Number of pillow cases}}\\\\=\dfrac{14\text{ feet}}{3}\\\\\approx 4.67\text{ feet}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B%5Ctext%7BAmount%20of%20fabric%7D%7D%7B%5Ctext%7BNumber%20of%20pillow%20cases%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B14%5Ctext%7B%20feet%7D%7D%7B3%7D%5C%5C%5C%5C%5Capprox%204.67%5Ctext%7B%20feet%7D)
Thus, approximately 4.67 feet of fabric is required for one pillow case.
8-4x-7=5x+30-2
combine like terms
1-4x=5x+28
-27=9x
divide both sides by nine
-3=x