Question:The value of` (32/243)^(-4∕5)` is : 

A `4/9` 
B `9/4` 
C `16/8` 
D `81/16` 

+ Answer
D 

+ Explanation
`(32/243)^(-4∕5)`

`= (243/32)^(4∕5)`

`= (3^5/2^5)^(4∕5)`

`= [(3/2)^5]^(4∕5)`

`= (3/2)^(5 xx (4/5)`

`= (3/2)^4`

`= (3^5/2^5)^(4∕5)`

`= [(3/2)^5]^(4∕5)`

`= (3/2)^4`

`= 3^4/2^4`

`= 81/16`

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