How do you simplify 1/32 to the power of -3/5?

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Answer 1 · 2015-04-14T10:57:12

Note that:
#2^5 = 32#

#b^(-a) = 1/(b^a)#

and
#b^(p/q) = (root(q)(b))^p#

Therefore
#1/(32)^(-3/5)#

#= 32^(3/5)#

#= (root(5)(32))^3#

#= 2^3#

#=8#