Answer:
Both are equal to ![\frac{1}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B16%7D)
Step-by-step explanation:
If the exponent is negative we can turn it into a fraction and make it positive.
This means the number goes to the denominator and the numerator becomes one. Therefore the following.
![2^{-4} =\frac{1}{2^{4} } = \frac{1}{16}](https://tex.z-dn.net/?f=2%5E%7B-4%7D%20%3D%5Cfrac%7B1%7D%7B2%5E%7B4%7D%20%7D%20%3D%20%5Cfrac%7B1%7D%7B16%7D)
12.96 .12 times 8= .96 then add it to 12
Answer:
The sum of 8 geometric sequence is 959780
Step-by-step explanation:
We are given
this sequence is geometric
-4 , 24 , -144
First term is -4
so, ![a_1=-4](https://tex.z-dn.net/?f=a_1%3D-4)
now, we can find common ratio
![r=\frac{24}{-4}=-6](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B24%7D%7B-4%7D%3D-6)
we can use formula
![S_n=a_1(\frac{1-r^n}{1-r} )](https://tex.z-dn.net/?f=S_n%3Da_1%28%5Cfrac%7B1-r%5En%7D%7B1-r%7D%20%29)
n=8
now, we can plug values
![S_8=-4(\frac{1-(-6)^{8}}{1+6} )](https://tex.z-dn.net/?f=S_8%3D-4%28%5Cfrac%7B1-%28-6%29%5E%7B8%7D%7D%7B1%2B6%7D%20%29)
now, we can simplify it
and we get
![S_8=959780](https://tex.z-dn.net/?f=S_8%3D959780)
The answer is -1/4 I’m in 11th grade trust me