Express \(413_7\) to base 5
\(413_7\) to base 5
convert first to base 10
\(417_7 = 4 × 7^2 + 1 × 7^1 + 3 × 7^0\) = 4 × 49 + 1 × 7 + 3 × 1 = 196 + 7 + 3
= \(206_{10}\)
convert this result to base 5
\(∴ 413_7 = 1311_5\)
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