Question

20.[(1/2)^-1 + (2/3)^2 - (3/4) ^O]
^-2 is equal to​

Answer 1

Step-by-step explanation:

${(( \frac{ {1}^{ - 1} }{ {2}^{ - 1} } + \frac{ {2}^{2} }{ {3}^{2} } - \frac{ {3}^{0} }{ {4}^{0} } )}^{ - 2} \\ = {(2 + \frac{4}{9} - 1)}^{ - 2} \\ = {(1 + \frac{4}{9} )}^{ - 2} \\ = {( \frac{9 + 4}{9}) }^{ - 2} \\ = {( \frac{13}{9}) }^{ - 2} \\ = \frac{ {13}^{ - 2} }{ {9}^{ - 2} } \\ = \frac{ {9}^{2} }{ {13}^{2} } \\ = \frac{81}{169}$

Hope you get your answer