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

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)

Simplify: (-1/27)^(-2/3)

Simplify: (1/27)xx2^(-3)

Simplify 6sqrt((27)^(-2/3)+(8)^(-2/3))

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

Simplify 27^((1)/(3))[27^((1)/(3))-27^((2)/(3))]

Simplify (sqrt(2)*(3)^((1)/(3))*(4)^((1)/(4)))/((10^(-1))^((1)/(5))*(5)^((3)/(5)))