How do you simplify #(-343)^(-8/3)#?

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Answer 1 · 2015-04-22T13:43:39

#(-343)^(-8/3)#

Note that #root(3)(343)=7#

#(-343)^(-8/3)#

#=1/((-343)^(8/3))#

#=1/((root(3)(-343))^8#

#=1/(-7)^8#

#=1/5764801# (I did not multiply this out by hand)