Question #c9346

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Answer 1 · 2017-11-03T14:49:35

#3#

#27^(1/3)# can be written as #(3^3)^(1/3)#.

When we have any function #color(red)((a^b)^c#, we multiply the exponents, #thereforecolor(red)(a^(b*c)=a^(bc)#

So,

#27^(1/3)#
#= (3^3)^(1/3)#
#=3^color(blue)(3*1/3)#

We know that #color(blue)(cancel3*1/cancel3)=1#

So,

#3^color(blue)(3*1/3)#
#=3^1#
#=3#