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Simplify: (i)\ (0. 001)^(1/3) (ii)\ ...

Simplify: `(i)\ (0. 001)^(1/3)` `(ii)\ ((25)^(3/2)\ xx\ (243)^(3/5))/((16)^(5/4)\ xx\ (8)^(4/3))`

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Verified by Experts

(i) `(0.001)^(1/3)`
`=(1/1000)^(1/3)`
`=((1/10)^3)^(1/3)`
`=1/10`

(ii) `((25)^(3/2)\ xx\ (243)^(3/5))/((16)^(5/4)\ xx\ (8)^(4/3))`
`=(5^(2xx3/2)xx3^(5xx3/5))/(2^(4xx5/4)xx2^(3xx4/3)`
`=(5^3xx3^3)/(2^5xx2^4)`
`=(125xx27)/(2^(5+4)`
`=(125xx27)/(2^9)`
`=3375/512`
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