Answer: 
Step-by-step explanation:
The exponent 1/3 is the same thing as cube rooting the expression.
![\sqrt[3]{27\sqrt[3]{z^2} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27%5Csqrt%5B3%5D%7Bz%5E2%7D%20%7D)
3*
Hope it helps <3
Total ratio = 4+7 = 11
33/11 = 3
4x3 = 12
7x3 = 21
so the two groups are 12:21
which is also = 4:7

Expanding the left side gives

which gives two solutions,

and

. But if

, then

, but this number isn't real, so

is an extraneous solution. Meanwhile if

, you get

, so this solution is correct.
"Potential solutions" might refer to both possibilities, but there is only one actual (real) solution.
The GCF (Greatest Common Factor) of 25 and 65 is 5. So, we can divide both numbers by 5.
25 / 5 = 5
65 / 5 = 13
Now, put it into a fraction.
5/13
This cannot be simplified any further.
Best of Luck!