Question

Evaluate the following:

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

Answer 1

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

= `(1/2^2)^(1/2) + (0.1)^-1 - 3^2`

= `(1/2) + (0.1)^-1 - 3^2`

= `(1)/(2) + (1)/(0.1) - 9`

= `(1)/(2) + (10)/(1) - 9`

= `(1)/(2) + 1`

= `(3)/(2)`.