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Assuming that `x ,\ y ,\ z` are positive real numbers, simplify each of the following: `(i)\ ((x^(-4))/(y^(-10)))^(5/4)` ` (ii)\ ((sqrt(2))/(sqrt(3)))^5\ (6/7)^2`

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(i) `((x^(-4))/(y^(-10)))^(5/4)`
`=(x^(-4xx5/4))/y^(-10xx5/4)`
`=x^-5/y^(-25/2)`
`=y^(25/2)/x^5`

(ii) `((sqrt(2))/(sqrt(3)))^5\ (6/7)^2`
`=(2^(1/2)/3^(1/2))^5xx(6/7)^2`
`=2^(5/2)/3^(5/2)xx36/49`
`=(2^2*2^(1/2))/(3^2*3^(1/2))xx(3^2*4)/49`
`=(16sqrt(2))/(49sqrt(2)`
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