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Question
By what number should (–15)–1 be divided so that quotient may be equal to (–15)–1?
Sum
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Solution
Let (–15)–1 be divided by x to get quotient (–15)–1.
So, `(-15)^-1/x = (-15)^-1`
⇒ `(-15)^-1/(-15)^-1 = x`
⇒ x = (–15)–1 + 1 ...[∵ am + an = (a)m – n]
⇒ x = (–15)0 = 1 ...[∵ a0 = 1]
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