If x is a prime number,y is an integer ,and x^(21-x)=x^(y^2+3),then xy^2=_____

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Ifxisaprimenumber,yisaninteger,andx^(21-x)=x^(y^2+3),thenxy^2=_____Ifxisaprimenumber,yisaninteger,an

If x is a prime number,y is an integer ,and x^(21-x)=x^(y^2+3),then xy^2=_____
If x is a prime number,y is an integer ,and x^(21-x)=x^(y^2+3),then xy^2=_____

If x is a prime number,y is an integer ,and x^(21-x)=x^(y^2+3),then xy^2=_____
x^(21-x)=x^(y^2+3)
21-x=y^2+3
y^2=18-x
y=√(18-x)
18-x>0
x<18
because x is a prime number and y is an integer
so x can only be 1,3,5,7,11,13 and 17; y can only be 1,2,3 and 4
therefore x=2,y=4
xy^2=2*16=32

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