((-2/3)^(-3) %2B 64/27)/(3/2)^2 – InterviewSolution

1.

((-2/3)^(-3) %2B 64/27)/(3/2)^2

Answer»

[(-2/3)^-3 - (-3/4)^-3] ÷ (3/2)^2

= (-3/2)^3 - (-4/3)^3] ÷ 9/4

= [(-27/8) - (-64/27)] ÷ 9/4

= [(-27*27) - (-64*8)]/8*27 ÷ 9/4

= (729 + 512)/8*27 ÷ 9/4

= 1241/8*27 * 4/9

= 1241/2*27*9

= 1241/486

= 4.33

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