Question

Evaluate the following:

`(27)^(2/3) xx 8^((-1)/6) ÷ 18^((-1)/2)`

Answer 1

`(27)^(2/3) xx 8^((-1)/6) ÷ 18^((-1)/2)`

= `3^(3 xx 2/3) xx (1)/(2^(3 xx 1/6)) ÷ (1/18)^(1/2)`

= `(3^2)/(2^(1/2)) xx (2 xx 3^2)^(1/2)`

= `(3^2)/(2^(1/2)) xx 2^(1/2) xx 3`

= `3^(2 + 1)`
= 3³
= 27.