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Simplify: { ( 1 2 ) − 1 × ( − 4 ) − 1 } − 1 - Mathematics

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Question

Simplify:

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

Solution

\[\left\{ \left( \frac{1}{2} \right)^{- 1} \times ( - 4 )^{- 1} \right\}^{- 1}\]  `=((1/(1/2))xx(1/(-4)))^(-1)`  `->(a^(-1)=1/a)`

`=(2xx(1/-4))^(-1)`

`=(1/(-2))^(-1)`

`=1/(1/(-2))`      `->(a^(-1)=1/a)`

= -2

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Chapter 2: Powers - Exercise 2.2 [Page 19]

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RD Sharma Mathematics [English] Class 8
Chapter 2 Powers
Exercise 2.2 | Q 7.3 | Page 19

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