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Question
Find the value of `((-1)^6 xx (-1)^7 xx (-1)^8)/((-1)^3 xx (-1)^5)`
Solution
`((-1)^6 xx (-1)^7 xx (-1)^8)/((-1)^3 xx (-1)^5) = ((-1)^(6+ 7 + 8))/((-1)^(3+5))`
= `((-1)^(21))/((-1)^8)`
= (−1)21−8 ...[By Quotent rule]
= (−1)13
= −1 ...[Since the power 13 is odd positive number]
∴ `((-1)^6 xx (-1)^7 xx (-1)^8)/((-1)^3 xx (-1)^5)` = 1
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