How do you simplify #-16^(-2/3)#?

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Answer 1 · 2018-07-19T10:14:43

#-2^{-8/3}#

Given that

#-16^{-2/3}#

#=-(2^4)^{-2/3}#

#=-(2)^{-4\cdot 2/3}#

#=-2^{-8/3}#

Answer 2 · 2018-07-19T10:38:08

#-16^(-2/3)=-1/16^(2/3)#

#16=2xx2xx2xx2=2^4#

#-1/(2^4)^(2/3)#

#-1/2^(8/3)#

#-1/root(3)256#