Evaluate : `1/2 x^2y^2 times ( -1/4x^3y^3 ) times ( x^3y^3) times x^2y^2`

Evaluate : x^2 times ( x/y - y/x ) times ( y/x + x/y ) times y^2

Evaluate : 8x^( -3/4 ) times 1/4 xy ÷ 3y^( -2/3 )

Show that : x^3y^2 = x times x times x times y times y

Find the value of ( (x^-2 times y^-4 )/ ( x^-3 times y^-1) ÷ y^-2/x^-1 )

(6x^(2)times9y^(-3))/((2x)^(-4)times(3y)^(2))

Evaluate: (2x+3y)^(2)( ii) (2x-3y)^(2)(2x+3y)2x-3y)

find the domain of   y = sqrt (( x-2 ) times ( x-3 ))

Evaluate : (x^(1//3)+y^(1//3))(x^(2//3)-x^(1//3)y^(1//3)+y^(2//3)) , when x=4(5)/(7) " and " y=5(2)/(7) .

Find the product: (i) x^(3)y^(3)times[-(3)/(2)(x-y)]