This chemistry question involves key chemical concepts and calculations. The detailed solution below walks through each step, from identifying the reaction type to computing the final answer.
ScanSolve AI Answer
To express 413⁷ in base 5, we first convert 413⁷ to base 10, and then convert the base 10 number to base 5. Step 1: Convert 413⁷ to base 10. The digits in base 7 represent powers of 7. 413_7 = 4 × 7^2 + 1 × 7^1 + 3 × 7^0 413_7 = 4 × 49 + 1 × 7 + 3 × 1 413_7 = 196 + 7 + 3 413_7 = 206_10 Step 2: Convert 206₁₀ to base 5. We use division with remainder by 5. 206 ÷ 5 = 41 remainder 1 41 ÷ 5 = 8 remainder 1 8 ÷ 5 = 1 remainder 3 1 ÷ 5 = 0 remainder 1 Reading the remainders from bottom to top, we get 1311. So, 413_7 = 206_10 = 1311_5. The final answer is 1311_5. Got more? Send 'em 📸