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Home » \[ 12p + 2q = 14 \] - Baxtercollege

\[ 12p + 2q = 14 \] - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Question:** What is the base-ten number represented by the base-six number \(5432_6\)?

📌 To convert \(5432_6\) to base ten, use the digit-value expansion:

📌 \cdot 6^3 + 4 \cdot 6^2 + 3 \cdot 6^1 + 2 \cdot 6^0

📌 6^3 = 216 \Rightarrow 5 \cdot 216 = 1080

📌 6^2 = 36 \Rightarrow 4 \cdot 36 = 144

📌 6^1 = 6 \Rightarrow 3 \cdot 6 = 18

📌 6^0 = 1 \Rightarrow 2 \cdot 1 = 2

📌 + 144 = 1224, \quad 1224 + 18 = 1242, \quad 1242 + 2 = 1244

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