Multiply 32 base five * 3 base five?

To multiply 32 base five by 3 base five, we can convert both numbers to base ten, perform the multiplication, and then convert the result back to base five.

32 base five = (3 * 5^1) + (2 * 5^0) = 15 + 2 = 17 base ten
3 base five = 3 base ten

Now, multiply 17 base ten by 3 base ten:
17 * 3 = 51

Now, convert 51 base ten back to base five:
51 = (2 * 5^2) + (1 * 5^1) + (1 * 5^0) = 221 base five

Therefore, 32 base five * 3 base five = 221 base five.

(32 base five) - (3 base five) = 96 base five

Explanation:

Step 1: Multiply the coefficients

3 - 3 = 9

Step 2: Multiply the bases

5 - 5 = 25

Step 3: Combine the results

9 - 25 = 96 base five

Therefore, (32 base five) - (3 base five) = 96 base five.