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Find the Value of the Following: ( 1 2 ) − 2 + ( 1 3 ) − 2 + ( 1 4 ) − 2 - Mathematics

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Question

Find the value of the following:

\[\left( \frac{1}{2} \right)^{- 2} + \left( \frac{1}{3} \right)^{- 2} + \left( \frac{1}{4} \right)^{- 2}\]
Sum

Solution

\[\left( \frac{1}{2} \right)^{- 2} +\left( \frac{1}{3} \right)\]-2+14-2=11/22+11/32+11/42        → (an = 1/(an))
\[\frac{1}{1/4} + \frac{1}{1/9} + \frac{1}{1/16}\]  →((a/b)n =(an/bn))
= 4+9+16
=29
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Chapter 2: Powers - Exercise 2.1 [Page 8]

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RD Sharma Mathematics [English] Class 8
Chapter 2 Powers
Exercise 2.1 | Q 3.2 | Page 8

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