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Question
Simplify the following:
`x^("m" + 2"n"). x^(3"m" - 8"n") ÷ x^(5"m" - 60)`
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Solution
`x^("m" + 2"n"). x^(3"m" - 8"n") ÷ x^(5"m" - 60)`
= `x^("m" + 2"n" + 3"m" - 8"n" - 5"m" -(-60)` .....(Using am x an = am+n and am ÷ an = am-n)
= `x^("m" + 2"n" + 3"m" - 8"n" - 5"m" + 60)`
= `x^(-"m"-6"n" + 60)`.
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