Question

{(2/3)^-2-(3/4)^-2}^-2​

Answer 1

Answer:

(3/2^2-4/3^2)-2

(9/4-16/9)^-2

(81-64/36)^-2

36/17

Step-by-step explanation:

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Answer 2

Answer:

${ | ({ \frac{2}{3}) }^{ - 2} - { (\frac{3}{4}) }^{ - 2} | }^{ - 2} \\ = { | { (\frac{3}{2}) }^{2} - { (\frac{4}{3}) }^{2} | }^{ - 2} \\ = {( \frac{9}{4} - \frac{16}{9} )}^{ - 2} \\ = {( \frac{81 - 64}{36} )}^{ - 2} \\ = { (\frac{17}{36}) }^{ - 2} \\ = {( \frac{36}{17} )}^{2} \\ = \frac{1296}{289} \\ = 4 \frac{140}{289}$

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