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Simplify and write the answer in the exponential form. (i) `(2^5 -: 2^8)^5 xx 2^(-5)` (ii) `(-4)^(-3) xx (5)^(-3) xx (-5)^(-3)` (iii) `1/8 xx (3)^(-3)` (iv) `(-3)64 xx (5/3)^4`

Text Solution

Verified by Experts

(i) `(2^(5-8))^5 xx 2^-5`
`(2^-3)^5 xx 2^-5`
`2^-15 xx 2^-5`
`2^(-15-5) = 2^-20`
(ii) `(-4)^-3 xx (5)^-3 xx (-5)^-3`
`(-4 xx 5 xx -5)^-3`
`= (100)^-3`
(iii) `1/8 xx (3)^-3`
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