(sqrt((v))sqrt((1)/(4))+(0.01)^(-1/2)-(27)^(2/3)=(3)/(2)

Prove that: sqrt((1)/(4))+(0.01)^(-(1)/(2))-(27)^((2)/(3))=(3)/(2) (ii) (2^(n)+2^(n-1))/(2^(n+1)-2^(n))=(3)/(2)

Prove that: sqrt(1/4)+(0.01)^(-1/2)-(27)^(2/3)=3/2

Simplify: sqrt(1/4)+(0. 01)^(-1/2)-(27)^(2/3)

Prove that: (i)\ sqrt(1/4)+\ (0. 01)^(-1/2)-\ (27)^(2/3)=3/2 (ii)\ (2^n+\ 2^(n-1))/(2^(n+1)-2^n)=3/2

Evaluate each of the following : (i){(81)^(1//5)}^(5//2)" "(ii)(3sqrt(64))^(-2)" "(iii)9^(3//2)+3xx4^(0)-((1)/(81))^(-1//2) (vi)sqrt((1)/(9))+(0.01)^(-1//2)-(27)^(4//3)" "(v)((125)/(64))^(2//3)+((256)/(625))^(-1//4)

Simplify: sqrt((1)/(4))+(0.01)^(-(1)/(2))-(27)^((2)/(3))

Evaluate: sqrt(( 1)/(4)) + (0.01) ^(-(1)/(2)) xx (5) - (27)^((2)/(3))

The value of (6sqrt(27)-sqrt(6(3)/(4)))^(2)+(2(sqrt(2)+sqrt(6)))/(3sqrt(2+sqrt(3))) is

Let A= [{:(( sqrt(3))/(2),(1)/(2) ),( -(1)/(2) ,(sqrt( 3))/( 2)) :}],B= [{:( 1,1),(0,1):}]and C = ABA^(T) , "then "A^(T) C^(3)A is equal to

Let A= [{:(( sqrt(3))/(2),(1)/(2) ),( -(1)/(2) ,(sqrt( 3))/( 2)) :}],B= [{:( 1,1),(0,1):}]and C = ABA^(T) , "then "A^(T) C^(3)A is equal to