Simplify: `{(1/3)^-3-(1/2)^-3}(1/4)^(-3)` (ii) `(3^2-\ 2^2)x\ (2/3)^(-3)` (iii) `{(1/2)^(-1)x\ (-4)^(-1)}^(-1)` (iv) `[{((-1)/4)^2}^(-2)]^(-1)` (v)`{(2/3)^2}^3x\ (1/3)^(-4)x\ 3^(-1)x\ 6^(-1)`

Explanation

(i)`{(1/3)^-3(1/2)^-3}`:-`(1/4)^-3`
`(3^2-2^3) :-(4)^3
`(27-8)÷`(64)`
`(19/64)`
(ii)`(3^2-2^2)x(2/3)^-3`
`x(5)(27/8)`
`(135/8x)`
(iii)`{(1/2)^-1x(-4)^-1}^-1`
` (2x(-1/4))^-1`
`(-1/2x)^-1`
`(-2x)`
(iv)`[{(-1/4)^2}^-2]^-1`
`[{1/16}^-2]^-1`
`[(16)^2]^-1`
`(256)^-1`
`(1/256)`
(v)`{(2/3)^2}^3x(1/3)^-4x.3^-1x6^-1`
`(4/9)^3 (x^3)(1/81)^-1 xx 1/3xx 1/6`
`64/729 xx 81xx 1/3xx 1/6`
`(32/81)`