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By What Number Should 5−1 Be Multiplied So that the Product May Be Equal to (−7)−1? - Mathematics

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प्रश्न

By what number should 5−1 be multiplied so that the product may be equal to (−7)−1?

योग

उत्तर

Using the property a−1 = 1/a for every natural number a, we have 5−1 = 1/5 and (−7)−1 = −1/7. We have to find a number x such that \[\frac{1}{5} \times x = \frac{- 1}{7}\] Multiplying both sides by 5, we get:

\[x = \frac{- 5}{7}\]

Hence, the required number is −5/7.

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अध्याय 2: Powers - Exercise 2.1 [पृष्ठ ८]

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आरडी शर्मा Mathematics [English] Class 8
अध्याय 2 Powers
Exercise 2.1 | Q 6 | पृष्ठ ८

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