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Question
Simplify the following:
`(5^("n" + 2) - 6.5^("n" + 1))/(13.5^"n" - 2.5^("n" + 1)`
Solution
`(5^("n" + 2) - 6.5^("n" + 1))/(13.5^"n" - 2.5^("n" + 1)`
= `(5^"n" (5^2 - 6 xx 5))/(5^"n" (13 - 2 xx 5)`
= `(25 - 30)/(13 - 10)`
= `(-5)/(3)`.
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