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Home » Apply the power rule to each term: - Appfinity Technologies

Apply the power rule to each term: - Appfinity Technologies

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Try $ m = 0 $: $ x = 8 $ (not two-digit)

📌 Try $ m = 1 $: $ x = 43 $

📌 Try $ m = 2 $: $ x = 78 $

📌 Both 43 and 78 are two-digit numbers satisfying the conditions.

📌 Thus, the possible answers are $ \boxed{43} $ and $ \boxed{78} $.

📌 Question: What is the largest integer that must divide the product of any four consecutive integers?

📌 Solution: Let the four consecutive integers be $ n, n+1, n+2, n+3 $. Their product is $ n(n+1)(n+2)(n+3) $.

📌 We analyze divisibility properties:

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