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Prove That: - Mathematics

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Question

Prove that:

`("m"+"n")^-1("m"^-1+"n"^-1)=("m""n")^-1`

Sum

Solution

`"L"."H"."S".  ("m"+"n")^-1("m"^-1+"n"^-1)`

`=1/("m"+"n")(1/"m"+1/"n")=1/("m"+"n").("n"+"m")/("m""n")=1/("m""n"`

`=("m""n")^-1`

`=R.H.S.`

Hence Proved.

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More About Exponents
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Chapter 2: Exponents - Exercise 2 (B) [Page 34]

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Selina Concise Mathematics [English] Class 8 ICSE
Chapter 2 Exponents
Exercise 2 (B) | Q 11 | Page 34
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