11_35 - 9_14 • 21

To solve \( 11_{35} - 9_{14} \cdot 21 \), we first need to convert the numbers from their respective bases to base 10 (decimal). 1. Convert \( 11_{35} \) to decimal: \[ 11_{35} = 1 \times 35^1 + 1 \times 35^0 = 1 \times 35 + 1 \times 1 = 35 + 1 = 36 \] 2. Convert \( 9_{14} \) to decimal: \[ 9_{14} = 9 \times 14^0 = 9 \times 1 = 9 \] 3. Now perform the multiplication: \[ 9 \cdot 21 = 189 \] 4. Now, subtract the two results: \[ 36 - 189 = -153 \] Thus, the final answer is \(-153\).