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If x^a y^b=e^m , x^c y^d=e^n ,Delta1=|(m...

If `x^a y^b=e^m , x^c y^d=e^n ,Delta_1=|(m,b),(n,d)|,and Delta_2 =|(a,m),(c,n)| and Delta_3=|(a,b),(c,d)|,` then the values of x and y are

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