Answer:
![\left(\left(\frac{2}{3}\right)^0\right)^{-3}=1](https://tex.z-dn.net/?f=%5Cleft%28%5Cleft%28%5Cfrac%7B2%7D%7B3%7D%5Cright%29%5E0%5Cright%29%5E%7B-3%7D%3D1)
Step-by-step explanation:
![\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0\\\left(\left(\frac{2}{3}\right)^0\right)^{-3}=\left(\frac{2}{3}\right)^{0\cdot \left(-3\right)}\\=\left(\frac{2}{3}\right)^0\\=1](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aexponent%5C%3Arule%7D%3A%5Cquad%20%5Cleft%28a%5Eb%5Cright%29%5Ec%3Da%5E%7Bbc%7D%2C%5C%3A%5Cquad%20%5C%3Aa%5Cge%200%5C%5C%5Cleft%28%5Cleft%28%5Cfrac%7B2%7D%7B3%7D%5Cright%29%5E0%5Cright%29%5E%7B-3%7D%3D%5Cleft%28%5Cfrac%7B2%7D%7B3%7D%5Cright%29%5E%7B0%5Ccdot%20%5Cleft%28-3%5Cright%29%7D%5C%5C%3D%5Cleft%28%5Cfrac%7B2%7D%7B3%7D%5Cright%29%5E0%5C%5C%3D1)
<3
Red
The slope would be:
-5--3/3-1
-2/2
-1
Slope = -1
The sum of all that stuff is a number from here to there
Answer:
6 feet.
Step-by-step explanation:
Dimensions of the Pool =80 feet long by 20 feet wide
Area of the walkway =1344 square feet.
If the width of the walkway=w
- Length of the Larger Rectangle =80+2w
- Width of the Larger Rectangle =20+2w
Area of the Walkway =Area of the Larger Rectangle - Area of the Pool
![1344=(80+2w)(20+2w)-(80*20)\\1344=80*20+160w+40w+4w^2-80*20\\4w^2+200w=1344\\4w^2+200w-1344=0\\We factorize\\4(w^2+50w-336)=0\\4(w^2-6w+56w-336)=0\\w(w-6)+56(w-6)=0\\(w-6)(w+56)=0\\w-6=0$ or $ w+56=0\\w=6$ ft or $ w=-56$ \\Therefore, the width of the walkway , w=6 feet.](https://tex.z-dn.net/?f=1344%3D%2880%2B2w%29%2820%2B2w%29-%2880%2A20%29%5C%5C1344%3D80%2A20%2B160w%2B40w%2B4w%5E2-80%2A20%5C%5C4w%5E2%2B200w%3D1344%5C%5C4w%5E2%2B200w-1344%3D0%5C%5CWe%20factorize%5C%5C4%28w%5E2%2B50w-336%29%3D0%5C%5C4%28w%5E2-6w%2B56w-336%29%3D0%5C%5Cw%28w-6%29%2B56%28w-6%29%3D0%5C%5C%28w-6%29%28w%2B56%29%3D0%5C%5Cw-6%3D0%24%20or%20%24%20w%2B56%3D0%5C%5Cw%3D6%24%20ft%20or%20%24%20w%3D-56%24%20%5C%5CTherefore%2C%20the%20width%20of%20the%20walkway%20%2C%20w%3D6%20feet.)