How do you simplify #(2/5)^-3#?

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Answer 1 · 2018-03-24T02:36:24

#125/8#

#125/8#
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Answer 2 · 2018-03-24T02:40:25

#125/8#

#(2/5)^-3 = (2)^-3 / (5)^-3#

#(1/2^3) / (1/5)^3 = (1/2^3) * (5^3/1)#

#=> 5^3 / 2^3 = (5*5*5) / (2 *2 *2) = 125/ 8#

Answer 3 · 2018-03-24T02:45:04

#125/8#

#(2/5)^-3#

#(a/b)^-x = (b/a)^x#

So , #(2/5)^-3#

#=> (5/2)^3#

#=> 5^3/2^3#

#=> (5xx5xx5)/(2xx2xx2#

#=> 125/8#