Question

(1/2)‐²+(2/3)‐²+(3/4)‐²​

Answer 1

Answer:

$= > ( \frac{1}{2}) ^{ - 2} + ( \frac{2}{3})^{ - 2} + \frac{3}{4} ^{ - 2} \\ = > { {2}^{2} + ( \frac{3}{2}) }^{2} + { \frac{4}{3} }^{2} \\ = > 4 + \frac{9}{4} + \frac{16}{9} \\ = > \frac{144 + 81 + 64}{36} \\ = > \frac{289}{36}$

hope it helps....

Answer 2

Answer:

• 289/36 is the required answer

Step-by-step explanation:

${\small{\tt{ \bigg( \dfrac{1}{2}\bigg)^{-2} + \bigg( \dfrac{2}{3}\bigg)^{-2} + \bigg( \dfrac{3}{4}\bigg)^{-2}}}}$

${\small{\tt{ = (2)^2 +\bigg( \dfrac{3}{2} \bigg) ^2 +\bigg( \dfrac{4}{3} \bigg) ^2}}}$

${\small{\tt{ = 4 + \dfrac{9}{4} + \dfrac{16}{9}}}}$

${\small{\tt{ = \dfrac{144+81+64}{36}}}}$

${\small{\tt{ = \dfrac{289}{36}}}}$