If x power of 2= y power of 3,4= z power of 2,8=18, then xyz is

Given x power of 2= y power of 3,4= z power of 2,8=18
Because 18=2*3*3
So 8^z =4^y*2^x*2^x
I.e.2^(3z)=2^(2y)*2^(2x)=2^(2x+2y)
So 2x+2y=3z
If don't understand, wish study happy!

If x, y is a rational number and satisfies the square of the absolute value +(y+3) of x-3, what is the 2012 power of (x/y)?

By:
X-3=0
Y +3=0
Solution:
X=3; y=-3
(X/y) to the power of 2012
=(3/-3) Power of 2012
2012 Power of =(-1)
=1

By:
X-3=0
Y +3=0
Resolved:
X=3; y=-3
(X/y) to the power of 2012
=(3/-3) Power of 2012
2012 Power of =(-1)
=1

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