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Find the value of (14)−2+(19)−2+(17)−2\left(\frac{1}{4}\right)^{-2} + \left(\frac{1}{9}\right)^{-2} + \left(\frac{1}{7}\right)^{-2}(41​)−2+(91​)−
Question

Find the value of (14)2+(19)2+(17)2\left(\frac{1}{4}\right)^{-2} + \left(\frac{1}{9}\right)^{-2} + \left(\frac{1}{7}\right)^{-2}​​

A.

142

B.

146

C.

147

D.

141

Correct option is B

Given:

(14)2+(19)2+(17)2\left(\frac{1}{4}\right)^{-2} + \left(\frac{1}{9}\right)^{-2} + \left(\frac{1}{7}\right)^{-2} 

Solution: 

(14)2+(19)2+(17)2 =(4)2+(9)2+(7)2 =16+81+49 =146\left(\frac{1}{4}\right)^{-2} + \left(\frac{1}{9}\right)^{-2} + \left(\frac{1}{7}\right)^{-2} \\ \ \\ = \left({4}\right)^{2} + \left({9}\right)^{2} + \left({7}\right)^{2} \\ \ \\ = 16 + 81 + 49 \\ \ \\ = 146​​

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