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By What Number Should ( 1 2 ) − 1 Be Multiplied So that the Product May Be Equal to ( − 4 7 ) − 1 ? - Mathematics

Sum

By what number should \[\left( \frac{1}{2} \right)^{- 1}\] be multiplied so that the product may be equal to \[\left( \frac{- 4}{7} \right)^{- 1} ?\]

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Solution

Expressing in fractional form, we get:
(1/2)−1 = 2,      → (a−1 = 1/a)
and
(−4/7)−1 = −7/4    → (a−1 = 1/a)
We have to find a number x such that `2x=-7/4`
Dividing both sides by 2, we get: `x=-7/8`

Hence, (1/2)−1 should be multiplied by −7/8 to obtain (−4/7)−1.

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 2 Powers
Exercise 2.2 | Q 9 | Page 19
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