If the root sign (X-Y + 1) and | x + Y-3 | are opposite to each other, then the Y power of x =?

If the root sign (X-Y + 1) and | x + Y-3 | are opposite to each other, then the Y power of x =?

The radical (X-Y + 1) and | x + Y-3 | are opposite to each other
Both are > = 0, so both can only be 0
x-y+1=0
x+y-3=0
The simultaneous solution is x = 1, y = 2
x^y=1^2=1

If | X-Y + 2 | and the root sign x + Y-2 are opposite to each other, find the x power of (x + y)

|X-Y + 2 | and the radical x + Y-2 are opposite numbers
|X-Y + 2 | + radical x + Y-2 = 0
∴{x-y+2=0
x+y-2=0
The solution is x = 0, y = 2
X power of (x + y) = 1

If the absolute value of X + y + 1 and the root X-Y + 3 are opposite numbers, then the Y power of x =?

If | x + y + 1 | and √ (X-Y + 3) are opposite to each other,
Then | x + y + 1 | + √ (X-Y + 3) = 0
∴|x+y+1|=0,√(x-y+3)=0
{x+y+1=0
x-y+3=0
The solution is: {x = - 2
y=1
∴x^y=(-2)¹=-2

(1) How many rational numbers are there for square to get 4 / 9? Are there any rational numbers for square to get - 4 / 9?

The square of 4 / 9 has 2 / 3 and - 2 / 3. The square of - 4 / 9 is an imaginary number