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\((\frac{1}{2})^{-2}+(\frac{1}{3})^{-2} \, +(\frac{1}{4})^{-2} = ...................\)

(1/2)-2 + (1/3)-2 +(1/4)-2 = .............

A) 16 

B) 19

C) 29 

D) 32

2 Answers

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Best answer

Correct option is (C) 29

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

\(=2^2+3^2+4^2\)

= 4+9+16 = 29

+2 votes
by (38.9k points)

Correct option is  C) 29

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