Question

simplify (1/2)^-2+(1/3)^-2+(1/4)^-2​

Answer 1

Answer:

We have (21)−2+(31)−2+(41)−2

= (12)2+(13)2+(14)2=(22+32+42)

= 4 + 9 + 16 = 29

Answer 2

${( \frac{1}{2} )}^{ - 2} + {( \frac{1}{3}) }^{ - 2} + {( \frac{1}{4} )}^{ - 2}$

$= {( \frac{2}{1} )}^{2} + {( \frac{3}{1} )}^{2} + { (\frac{4}{1}) }^{2}$

$\because \: \: {a}^{ - n} = \frac{1}{ {a}^{n} }$

$= \frac{4}{1} + \frac{9}{1} + \frac{16}{1} \\ \\ = 4 + 9 + 16 \\ = 29$