Multiply 32 base five multiplied by 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) = 211 base five

Therefore, 32 base five multiplied by 3 base five is equal to 211 base five.

Given:

32 base five
3 base five

Multiplication:

```
32
× 3
----
96
```

Conversion to Base Ten:

32 base five = (3 × 5) + 2 = 17
3 base five = 3

Multiplication in Base Ten:

17 × 3 = 51

Conversion to Base Five:

51 = (1 × 5^2) + (0 × 5^1) + (1 × 5^0)

Therefore, the answer is 101 base five.