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Simplify : (i)(4^(-1)xx\ 3^(-1))^2 (...

Simplify :
(i)`(4^(-1)xx\ 3^(-1))^2`
(ii) `(5^(-1)-:6^(-1))^3`
(iii)`(2^(-1)+\ 3^(-1))^(-1)`
(iv) `(3^(-1)xx\ 4^(-1))^(-1)xx\ 5^(-1)`

Text Solution

Verified by Experts

(i)`(4^(-1)xx\ 3^(-1))^2`
`=1/16 xx 1/9`
`=1/144`

(ii) `(5^(-1)-:6^(-1))^3`
`=1/125xx 216/1`
`=216/125`

(iii)`(2^(-1)+\ 3^(-1))^(-1)`
`=(1/2+1/3)^(-1)`
`=6/5`

(iv) `(3^(-1)xx\ 4^(-1))^(-1)xx\ 5^(-1)`
`=3 xx 4 xx1/5`
`=12/5`
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