Without changing to base ten multiply 32 base five multiplied by 3 base five?

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

32 base five is equal to 3*5^1 + 2*5^0 = 15 + 2 = 17 in base ten.
3 base five is equal to 3*5^0 = 3 in base ten.

Multiplying 17 by 3 in base ten gives us 51.

Now, we need to convert 51 back to base five.
51 divided by 5 is 10 with a remainder of 1.
10 divided by 5 is 2 with a remainder of 0.

Therefore, 51 base ten is equal to 201 base five.

So, 32 base five multiplied by 3 base five is equal to 201 base five.

32 base five x 3 base five = 242 base five

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