" (iii) "quad (x^(-(2)/(3))y^(-(1)/(2)))^(2)

Assuming that x,y,z are positive real numbers,simplify each of the following: (sqrt(x^(-3)))^(5) (ii) sqrt(x^(3)y^(-2))( iii) (x^(-(2)/(3))y^(-(1)/(2)))^(2)

Assuming that x,y,z are positive real numbers,simplify each of the following: sqrt(x^(-2)y^(3)) (ii) (x^(-(2)/(3))y^(-(1)/(2)))^(2)

Simplify (x^(-2/3)y^(-1/2))^2

Find the 8 th term in the expansion of (x^((3)/(2))y^((1)/(2))-x^((1)/(2))y^((3)/(2)))^(10)

Assuming that x , y , z are positive real numbers, simplify each of the following: (i) (x^(-2/3)\ \ y^(-1/2))^2

Assuming that x ,\ y ,\ z are positive real numbers, simplify each of the following: (i)\ (sqrt(x^(-3)))^5 (ii) sqrt(x^-2y^(3)) (iii) (x^(-2/3)\ y^(-1/2\ ))^2

Find the product of ((1)/(2)x^(2)-(1)/(3)y^(2))and((1)/(2)x^(2)+(1)/(3)y^(2))

What is the value of lambda for which the lines (x-1)/(2)=(y-3)/(5)=(z-1)/(lambda) and (x-2)/(3)=(y+1)/(-2)=(z)/(2) are prependicular to each other

Which of the following line is passing through point of intersection of line (x-4)/(2)=(y-3)/(2)=(z-5)/(1) and the plane x+y+z=2( a) (x)/(2)=(y+1)/(3)=(z-3)/(4) (b) (x-2)/(3)=(y-1)/(3)=(z-2)/(2)(c)(x-2)/(2)=(y+1)/(3)=(z-2)/(4)(d)(x-2)/(2)=(y+1)/(3)=(z+3)/(4)