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how to watch veronica mars - Databee Business Systems

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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📌 Solution: To convert $ 321_7 $ to base ten, expand using powers of 7:

📌 \cdot 7^2 + 2 \cdot 7^1 + 1 \cdot 7^0 = 3 \cdot 49 + 2 \cdot 7 + 1 = 147 + 14 + 1 = 162

📌 Thus, the base-ten equivalent is $ \boxed{162} $.

📌 Question: What is the greatest common divisor of $ 2^5 \cdot 3^2 \cdot 5 $ and $ 2^3 \cdot 3^4 \cdot 7 $?

📌 Solution: To find the GCD, take the minimum exponent for each common prime factor:

📌 For $ 2 $: $ \min(5, 3) = 3 $

📌 For $ 3 $: $ \min(2, 4) = 2 $

📌 $ 5 $ and $ 7 $ are not common to both.

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