" (i) "(sqrt(x^(-3)))^(5)

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)

In the expansion of (x+sqrt(x^(3)-1))^(5)+(x-sqrt(x^(3)-1))^(5) the sum of coefficients of all terms having odd exponent is ……….

The sum of the coefficients of all odd degree terms in the expansion of (x+sqrt(x^(3)-1))^(5)+(x-sqrt(x^(3)-1))^(5), (xgt1) is :

Find the derivatives of the following : G(x)=(sqrt(2)x^(3)+x^(5))(sqrt(3)x^(2)+1/5x^(5))

y=(sqrt(3x-5)-(1)/(sqrt(3x-5)))^(5)

Assuming that x,y,z are positive real numbers,simplify each of the following: (sqrt(x^(-3)))^(5) (ii) (sqrt(x))^(-(2)/(3))sqrt(y^(4))-:sqrt(xy^(-(1)/(2)))

Prove that: (sqrt(3x5^(-3))-:3^(-1)3sqrt(5))x3x5^(6)6=(3)/(5)