If `x=a^(m+n),\ y=a^(n+l)` and `z=a^(l+m)` , prove that `x^m y^n z^l=x^n y^l z^m`

If x=a^(m+n),y=a^(n+1) and z=a^(l+m) prove that x^(m)+y^(n)z^(l)=x^(n)y^(l)z^(m)

If x=a^(m+n),y=a^(n+1) and z=a^(l+m) prove that x^(m)+y^(n)z^(l)=x^(n)y^(l)z^(m)

If a=x^(m+n)\ y^l,\ b=x^(n+l)\ y^m and c=x^(l+m)y^n , prove that a^(m-n)\ b^(n-l)\ c^(l-m\ )=1

If a=x^(m+n)y^(1),b-x^(n+l)y^(m) and c=x^(l+m)y^(n), prove that a^(m-n)b^(n-1)c^(1-m)=1

If a = x^(m + n) . Y^(l), b = x^(n + l). Y^(m) and c = x^(l + m) . Y^(n) , Prove that : a^(m-n) . b^(n - 1) . c^(l-m) = 1

Evaluate : ( x^(m + n ) times x^(n + l ) times x^( l + m ) ) / ( x^m times x^n times x^l )

Evaluate : ( x^(m + n ) times x^(n + l ) times x^( l + m ) ) / ( x^m times x^n times x^l )

If x/(lm - n^2) = y/(mn - l^2) = z/(nl - m^2) the value of lx + my +nz will be

The area of the quadrilateral formed by two pairs of lines l^(2) x^(2)-m^(2) y^(2)-n(l x+m y)=0 and l^(2) x^(2)-m^(2) y^(2)-n(L x-m y)=0 is