Simplify and write the answer in the exponential form : (i)`(2^5-:2^8)^5xx 2^(-5)` (ii) `(-4)^3xx\ (5)^(-3)xx(-5)^(-3)` (iii) `1/8xx 3^(-3)`

Explanation

(i)`(2^5-:2^8)^5xx 2^(-5)`
`{2^(5-8)}^5xx(1/2^5)`
`(2^-3)^5xx(1/2^5)`
`2^15/2^5`
`2^(15-5)`
`2^10`
`1024`.
(ii)`(-4)^3xx\ (5)^(-3)xx(-5)^(-3)`
`(-4)^3xx(1/5^3)xx(-1/5^3)`
`-64xx(1/125)xx(-1/125)`
`64/(125xx125)`
`64/15625`
(iii) `1/8xx 3^(-3)`
`1/8xx1/3^3`
`1/8xx1/27`
`1/216`