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Question
Evaluate: `5^"n" xx 25^("n" - 1) div (5^("n" -1) xx 25^("n" - 1))`
Sum
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Solution
`5^"n" xx 25^("n" - 1) div (5^("n" -1) xx 25^("n" - 1))`
`= 5^"n" xx 25^("n" - 1) xx 1/((5^("n" -1) xx 25^("n" - 1))`
`= 5^"n" xx 1/(5^("n" - 1)) = 5^("n" - "n" + 1) = 5^1`
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Laws of Exponents (Through Observing Patterns to Arrive at Generalisation.)
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