Question 43468
The negative exponents follow a simple rule, that is:

{{{x^(-n) = 1/(x^n)}}}

Therefore {{{-8^(-4/3)}}} can be simplified to {{{1/(-8^(4/3))}}}.

I'm pretty sure that didn't help out much, but a definition on fractional exponents is probably going to clear things up. Remember this property:

{{{x^(p/q) = (root(q, x))^p}}}

Therefore, we can simplify to {{{1/(root(3, 8))^4))}}}. As we know, {{{root(3, 8) = 2}}}, so our answer is simplified to {{{1/(2^4)}}}. {{{2^4 = 16}}}, so here is your answer: {{{1/16}}}