How do you simplify #32^(3/5)#?

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Answer 1 · 2016-05-16T17:22:49

#= color(blue)(8#

#32 ^ ( 3/5)#

#32# can be simplified upon prime factorisation as follows:

#32 = 2 * 2 * 2 * 2 * 2 = 2^5#

#32 ^ ( 3/5) = 2 ^( 5 * 3/5)#

#=color(blue)( 2 ^3#

#= color(blue)(8#