Question

3/4^-2+2/3^-2+1/2^-2​

Answer 1

Answer:

(3/4)^-2 + (2/3)^-2 + (1/2)^-2

=(1/(3/4)²)+(1/(2/3)²)+(1/(1/2)²

=(1/(9/14))+(1/(4/9))+(1/(1/4))

=(14/9)+(9/4)+(4/1)

=((14×4)+(9×9)+(4×36))/36

(Taking LCM for denominators)

=(56+81+144)/36

=281/36

=7.8