Explanation:
Conversion of a quadratic equation from standard form to vertex form is done by completing the square method.
Assume the quadratic equation to be
where x is the variable.
Completing the square method is as follows:
- send the constant term to other side of equal

- divide the whole equation be coefficient of
, this will give 
- add
to both side of equality 
- Make one fraction on the right side and compress the expression on the left side

- rearrange the terms will give the vertex form of standard quadratic equation

Follow the above procedure will give the vertex form.
(NOTE : you must know that
. Use this equation in transforming the equation from step 3 to step 4)
Answer:
0 (zero)
Step-by-step explanation:

I need more context to answer this question
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>