8 x 107 = 856
2 x 104 = 208
856 - 208 = 648
Assuming that an exponentiation sign is missing, all you need to know is that rational exponents work like this:
![a^{\frac{b}{c}}=\sqrt[c]{a^b}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bb%7D%7Bc%7D%7D%3D%5Csqrt%5Bc%5D%7Ba%5Eb%7D)
So, you have
And similarly,
![81^{\frac{7}{4}}=\sqrt[4]{25^7}=\sqrt[4]{(3^4)^7}=3^7](https://tex.z-dn.net/?f=81%5E%7B%5Cfrac%7B7%7D%7B4%7D%7D%3D%5Csqrt%5B4%5D%7B25%5E7%7D%3D%5Csqrt%5B4%5D%7B%283%5E4%29%5E7%7D%3D3%5E7)
If the difference is always -4.5, then it is always -4.5 times something, so that it changes -4.5 ever 1 number. This means that our equation is y=-4.5x. From there, we can add any constant, as it will not change the difference. I will leave that up to you to pick, so the equation is y=-4.5x+C, where C is any real number.
Hope this helps!
To find the average add all the numbers together then divide by how many numbers there are.
75+80+97+92=344 divided by 4 = 86
So her average right now is 86.
She’d have to make 96 to get an average of 88.
75+80+97+92+96=440 divided by 5=88
The answer is 96
