[" Evaluate : "],[" (i) "sqrt((1)/(4))+(0.01)^(-(1)/(2))-(27)^((2)/(3))]

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

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

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

Prove that: 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: (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)

Evaluate : ((27)/(8))^((2)/(3))-((1)/(4))^(-2)+5^(0)

Show that 4sin27^(0)=(5+sqrt(5))^((1)/(2))-(3-sqrt(5))^((1)/(2))

Find the value of 4+5[-(1)/(2)-i(sqrt(3))/(2)]^(344)+3[-(1)/(2)+i(sqrt(3))/(2)]^(365) (i=sqrt(-1))