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Question
Evaluate:
`(7^8 xx a^10b^7c^12)/(7^6 xx a^8b^4c^12)`
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Solution
We have, `(7^8 xx a^10b^7c^12)/(7^6 xx a^8b^4c^12)`
= `(7^8/7^6) xx (a^10/a^8) xx (b^7/b^4) xx (c^12/c^12)`
= `7^(8 - 6) xx a^(10 - 8) xx b^(7 - 4) xx c^(12 - 12)` ...`[∴ a^m/a^n = a^(m - n)]`
= 72 × a2 × b3 × c0 ...[∵ c0 = 1]
= 49 a2b3
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