How do you simplify #(64/9)^(3/2)#?

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Answer 1 · 2018-01-28T14:44:58

#(64/9)^(3/2)=sqrt((64/9)^3)#

#=sqrt(262144/729)#

#=512/27#

Answer 2 · 2018-01-28T15:30:20

#(512)/(27)#

Simplify
#((64)/(9))^((3)/(2))#

This fractional exponent means to find the square root of the numbers raised to the third power.

#sqrt(((64)/(9))^3#

1) Find the square roots of the numbers
#((8)/(3))^3#

2) Raise the numbers to the third power
#(512)/(27)#

#Answer#
#(512)/(27)#