Answer:
B)x^3
Explanation:
Given,
(x^8)/(x^2)=y^12
We can simplify the following by bringing the (x^2) above the division line which makes the power negative.
(x^8)*(x^-2)=y^12
or,(x^(8-2))=y^12
or,x^6=y^12 .........(1)
The question is, (y^8)/(y^2)=
Simplifying the question,
(y^(8-2))
or,y^6
Now,from ...(1),
x^6=y^12
or,(x^3)^2=(y^6)^2
Removing the squares,
x^3=y^6
Thus,we get the answer of the question,
(y^8)/(y^2)=y^6=x^3
