1. The problem is to multiply two numbers: $-39_2$ and $59_{10}$. 2. First, convert $-39_2$ from base 2 to base 10. However, $39_2$ is not a valid binary number because digits in base 2 can only be 0 or 1. 3. Since $39_2$ is invalid, we cannot perform the multiplication as stated. 4. Please check the input numbers for correctness and provide valid base numbers.