`(x^(-3)/y^3)^(2/3)xx(x^(3)/y^(-3))^((-2)/3)`

(x^(-3)-y^(-3))/(x^(-3)y^(-1)+(xy)^(-2)+y^(-3)x^(-1))=

Simplify (3x^(-2)y^(-3)z^(2)xx5x^(2)xxyxxz^3 )÷x^(3)y^(2)z^(-1)

Find the products ((-7)/(5)x^(2)y)xx((3)/(2)xy^(2)) xx((-6)/(5)x^(3)y^(3))

Prove the following : |{:(x,y,z),(x^(2),y^(2),z^(2)),(x^(3),y^(3),z^(3)):}|=|{:(x,x^(2),x^(3)),(y,y^(2),y^(3)),(z,z^(2),z^(3)):}|=xyz(x-y)(y-z)(z-x)

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) .

(-(7)/(5)x^(2)y)xx((3)/(2)xy^(2))xx(-(6)/(5)x^(3)y^(3))

The following are the steps involved in factorizing 64 x^(6) -y^(6) . Arrange them in sequential order (A) {(2x)^(3) + y^(3)} {(2x)^(3) - y^(3)} (B) (8x^(3))^(2) - (y^(3))^(2) (C) (8x^(3) + y^(3)) (8x^(3) -y^(3)) (D) (2x + y) (4x^(2) -2xy + y^(2)) (2x - y) (4x^(2) + 2xy + y^(2))