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Find the Value of the Following: (3−1 + 4−1 + 5−1)0 - Mathematics

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Question

Find the value of the following:
(3−1 + 4−1 + 5−1)0

Sum

Solution

We know from the property of powers that for every natural number a, a−1 = 1/a.
Moreover, a0 is 1 for every natural number a not equal to 0. Then:

\[( 3^{- 1} + 4^{- 1} + 5^{- 1} ) = 1\]  `->`(Ignore the expression inside the bracket and use a0= 1 immediately.)

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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 2.3 | Page 8

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