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Home » The diameter of the circle is equal to the side of the square, 8 units. - American Beagle Club

The diameter of the circle is equal to the side of the square, 8 units. - American Beagle Club

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 7^5 + 7^6 \equiv 1 + 1 = 2 \mod 6

📌 Thus, the remainder is $ \boxed{2} $.

📌 Question: What is the largest prime factor of $ 2^4 \cdot 3^3 \cdot 5^2 $?

📌 Solution: The prime factorization is already given: $ 2^4 \cdot 3^3 \cdot 5^2 $. The largest prime factor is clearly $ \boxed{5} $.

📌 Question: What is the smallest positive integer divisible by both 12 and 18?

📌 Solution: To find the least common multiple of 12 and 18, factor both:

📌 $ 12 = 2^2 \cdot 3 $

📌 $ 18 = 2 \cdot 3^2 $

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