Answer:
![xy^\frac{2}{9} = x*\sqrt[9]{y^2}](https://tex.z-dn.net/?f=xy%5E%5Cfrac%7B2%7D%7B9%7D%20%3D%20x%2A%5Csqrt%5B9%5D%7By%5E2%7D)
Step-by-step explanation:
Given

Required
The equivalent expression (see attachment)
We have:

Split

Apply the following laws of indices
![y^\frac{m}{n} = \sqrt[n]{y^m}](https://tex.z-dn.net/?f=y%5E%5Cfrac%7Bm%7D%7Bn%7D%20%3D%20%5Csqrt%5Bn%5D%7By%5Em%7D)
So, we have:
![xy^\frac{2}{9} = x*\sqrt[9]{y^2}](https://tex.z-dn.net/?f=xy%5E%5Cfrac%7B2%7D%7B9%7D%20%3D%20x%2A%5Csqrt%5B9%5D%7By%5E2%7D)
<em>Hence (d) is correct</em>
Answer:
![\sqrt[8]{197^{7} }](https://tex.z-dn.net/?f=%5Csqrt%5B8%5D%7B197%5E%7B7%7D%20%7D)
Step-by-step explanation:
![\sqrt[8]{197^{7} }](https://tex.z-dn.net/?f=%5Csqrt%5B8%5D%7B197%5E%7B7%7D%20%7D)
Hello There!
85 / 4 = 21.25
21.25 / 17 = 1.25
Scale factor is 1.25
Hope this helps!
The value that is equal to the average rate of change of the function over the interval is equal is 1 m/s
<h3>The average rate of change</h3>
Given the position of the object expressed as:
y = -t^2 + 3t - 4
In order to calculate the value that is equal to the average rate of change of the function over the interval (0, -4) and (2, -2), we will determine the slope of these two coordinates as shown;
Rate of change = -2-(-4)/2-0
Rate of change = -2+4/2
Rate of change = 2/2
Rate of change = 1 m/s
Hence the value that is equal to the average rate of change of the function over the interval is equal is 1 m/s
Learn more on rate of change here; brainly.com/question/8728504