Question

please solve this question ​

Answer 1

Answer:

1.190 is the answer :)

Step-by-step explanation:

$((\frac{2}{3})^{-2} - (\frac{3}{4})^{-1} ) ^{-2}$ -------------------------(this is the question)

= $((\frac{2^{-2}}{3^{-2}}) - (\frac{3^{-1}}{4^{-1}}) ) ^{-2}$ -------------------------(∵ $(\frac{a}{b})^{-m} = \frac{a^{-m}}{b^{-m}}$ )

$=((\frac{3^{2}}{2^{2}}) - (\frac{4^{1}}{3^{1}}) ) ^{-2}$ ---------------------------(∵ $a^{-1} = \frac{1}{a^{1}}$)

$=(\frac{9}{4} - \frac{4}{3} ) ^{-2}$ ---------------------(simplify into small fractions )

$=(\frac{9*3 - 4*4}{4*3} ) ^{-2}$ ---------------------( take L.C.M)

$=(\frac{27 - 16}{12} ) ^{-2}$

$=(\frac{11}{12} ) ^{-2}$

$=(\frac{11 ^{-2}}{12 ^{-2}} )$-------------------------(∵ $(\frac{a}{b})^{-m} = \frac{a^{-m}}{b^{-m}}$ )

$=(\frac{12 ^{2}}{11 ^{2}} )$ ---------------------------(∵ $a^{-1} = \frac{1}{a^{1}}$)

$=(\frac{144}{121} )$

=1.190

∴1.190 is the answer :)

PLS MRK AS BRAINLIEST PLSSSSSSS............... :) as i have took so much effort to write like this plsssssss mrk plsssss :)