If you plug in the r values, the only one that will work will be r = 6. (6,-2) & (7,6) put into the slope formula yields: [6-(-2)]/[7-6] = 8/1 = 8 the you needed.
Answer: ![2^{30}](https://tex.z-dn.net/?f=2%5E%7B30%7D)
Step-by-step explanation:
In order to solve this exercise it is important to remember:
1. The Negative exponent rule, which states that:
![a^{-n}=\frac{1}{a^n}](https://tex.z-dn.net/?f=a%5E%7B-n%7D%3D%5Cfrac%7B1%7D%7Ba%5En%7D)
2. The Product of powers property, which states that:
![(a^m)(a^n)=a^{(m+n)}](https://tex.z-dn.net/?f=%28a%5Em%29%28a%5En%29%3Da%5E%7B%28m%2Bn%29%7D)
Therefore, knowing the explained above and having the following expression provided in the exercise:
![\frac{2^{14}}{2^{-16}}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5E%7B14%7D%7D%7B2%5E%7B-16%7D%7D)
You can identify that the numerator and the denominator have the same base 2. Then, you can simplify the expresssion as following:
![(2^{14})(2^{16})=2^{(14+16)}=2^{30}](https://tex.z-dn.net/?f=%282%5E%7B14%7D%29%282%5E%7B16%7D%29%3D2%5E%7B%2814%2B16%29%7D%3D2%5E%7B30%7D)
The answer is 35
0.1x - 2.5 = 1.0
0.1x = 3.5
x= 35