Simplify : `(8/125)^-(4/3)` Options: A . &nbsp`616/12` B . &nbsp`620/14` C . &nbsp`625/16` D . &nbsp`640/18`

Simplify :

Question

Simplify : `(8/125)^-(4/3)`

Options:

A . `616/12`

B . `620/14`

C . `625/16`

D . `640/18`

Answer: Option C

Sol . `(8/125)^-(4/3)`

= `{(2/5)^3}^-(4/3)`

= `(2/5)^{ 3 xx (-4)/3}`

= `(2/5)^-4`

= `(5/2)^4` = `5^4/2^4` = `625/16`

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