Question

19. Simplify: (x)^x = (y)^y if x = y^2​

Answer 1

Step-by-step explanation:

x^x/y^y —(1)

x= y² —(2)

Now, put (2) in (1)

=> (y²)^x/y^y

=> (y)^2x/y^y

=> (y)^(2x-y)

=> (y)^(2y²-y)

Further simplification of the above equation is only possible for different conditions given in the question.

However, the above solution is itself complete in general, but can be solved further according to questions' demand.