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Find the value of `(-(2)/(3))^2/(-(2)/(3))^3+((-(4)/(9)))/((2)/(3))^2`

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Find the value of `(-(2)/(3))^2/(-(2)/(3))^3+((-(4)/(9)))/((2)/(3))^2`
A. `-(1)/(2)`
B. `(3)/(2)`
C. `-(5)/(2)`
D. `(1)/(2)`
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Correct Answer - C
`(-(2)/(3))^2/(-(2)/(3))^3+((-(4)/(9)))/((2)/(3))^2`
`=(-(2)/(3))^2/((2)/(3))^3-((2)/(3))^(2)/((2)/(3))^2`
`=(1)/((2)/(3))^(3-2)-1 `
`=-(3)/(2)-1=-(5)/(2)`
Hence the correct option is (c).
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