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Simplify: { 3 − 1 × 4 − 1 } − 1 × 5 − 1 - Mathematics

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Question

Simplify:

\[\left\{ 3^{- 1} \times 4^{- 1} \right\}^{- 1} \times 5^{- 1}\]

Sum

Solution

\[\left\{ 3^{- 1} \times 4^{- 1} \right\}^{- 1} \times 5^{- 1}\]`-(1/3xx1/4)^(-1)xx1/5`     → (a−1 = 1/a)

\[= \left( \frac{1}{12} \right)^{- 1} \times \frac{1}{5}\]
\[= 12 \times \frac{1}{5}\]  → (a−1 = 1/a)
\[= \frac{12}{5}\]
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Chapter 2: Powers - Exercise 2.2 [Page 18]

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RD Sharma Mathematics [English] Class 8
Chapter 2 Powers
Exercise 2.2 | Q 4.4 | Page 18

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