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Question
By what number should (–15)–1 be divided so that the quotient may be equal to (–5)–1?
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Solution
Let x be the number divide (–15)–1 to get (–5)–1 as a quotient.
So, (–15)–1 ÷ x = (–5)–1
⇒ `1/(-15) xx 1/x = 1/-5` ...`[∵ a^-m = 1/a^m]`
⇒ `1/x = 1/-5 ÷ 1/(-15)`
⇒ `1/x = 1/-5 xx (-15)/1`
⇒ `1/x = 3`
⇒ `x = 1/3`
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