After solving I got 5^32 3^8 2^32

After this what needs to be done

As 5 x 2 = 10 (1 zero)

Now if we have 5 ^2 and 2^ 2 = 100 (on multiplying)

So you can say if power is same, then that is equal to number of zeroes.

If the case is different, for example - 5^3 and 2^4 => we take least number => so, number of zeroes = 3

I didnt follow why u took 5 x 2 = 10

The question asks for number of zeros left to its decimal point.

That simply means how many zeroes one can have.

SO, now lets take example

250 - 25 * 10 = 5^2 and 2 x 5 = 5^3 and 2^1

Here you can see we combine factors of 10.

another example -

4300

here you can say 4300 = 43 x 100 = 43 x 10 x 10 = 43 x 2^2 x 5^2

### SO, this basically means how many 10s can you create from the question asked.

According to question,

we have 125^14 x 48^ 8 => 2^32 x 3^8 x 5^42

here we can see power of 2 and 5 are different, and therefore we take smaller one i.e., 32.

So answer should be 32

Oh so here we consider the factors that make 10 and take the factors with the least no

Do u have another example so I cud a better clarity in this

Lets leave this for a moment,

let me ask how do you know how many zeroes will this number have 35 * 80 ?

Also, mention you thoughts on how you proceed with this?

So for 35 * 80

35 β 7 x 5

80 β 2^4 x 5

Final : 7^1 5^2 2^4

5x2 makes up 10 so then between 5 and 2 I take the power with the least value

In this case its 2 (5^2)

Yes, itβs correct.

Was this helpful?

if you need more help, I donβt have examples but if you can find some then I can definitely help.

Thank you so much. Now I realize that solving these sums is really fun

Thanks for this method Thank you once again