How do you simplify #(100/9)^(3/2)#?

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Answer 1 · 2016-04-29T09:59:16

#1000/27#

Power of #2/3# is first to take the square root of #100/9# which is #10/3#, then cube that answer, which is #1000/27#.

Answer 2 · 2016-04-29T10:06:54

#1000/27#

#(100/9)^(3/2)=((10/3)^2)^(3/2)=(10/3)^(2xx(3/2))=(10/3)^3=1000/27#