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find no of last zero
1^1 * 2^2 * 3^3 * 4^4........... * 10^10
Read Solution (Total 11)
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- 2^2=4
4^4*4=4^5
4^5*5^5 makes 5 no.of zeros
10^10 makes 10 no.of zero
then the total no of zero is 15
- 10 years agoHelpfull: Yes(26) No(1)
- logic behind this is no.of last zeroes= power of 5.
here 5^5 and ten can be written as (5*2)^10
therefore power of 5 is 15, which implies there are total 15 last zeroes .
you can check this logic by taking small nos.it holds true. - 10 years agoHelpfull: Yes(6) No(0)
- 4^4*2^2=4^5=1024
4^5*5^5=1024*(100/4)=25600 (i.e. 2 zeroes)
and 10^10 gives 10 zeroes;
so total no of zeros is 12;
- 10 years agoHelpfull: Yes(2) No(1)
- 10^10 makes 10 no of zeros and 2^2=4
4^4 * 4=4^5
4^5 *5^5 makes 5 no of zeros . so ans is 10+5=15 - 9 years agoHelpfull: Yes(2) No(0)
- i tink ........ 1
- 10 years agoHelpfull: Yes(1) No(7)
- The answer is 15....we get on multiplication of 2 and 5..so we have to calculate nos. of 2 and 5..thn find the the total no. of combination of 2 and 5...
here no.s of 5 =5+10=15(from 5^5 and 5^10)
but no.s of 2 are more than 15..
So, combination is 15.
- 9 years agoHelpfull: Yes(1) No(0)
- We get 4 zero after multiplication
We have 25 in multiplication = 5*5
No. Of 5 = no of zeros(also 100)
Xxxxxxxxxx0000 - 10 years agoHelpfull: Yes(0) No(5)
- I think the ans is 0
- 10 years agoHelpfull: Yes(0) No(4)
- 10
(10^10) - 10 years agoHelpfull: Yes(0) No(2)
- i think answer is = 11
- 10 years agoHelpfull: Yes(0) No(3)
- answer is 15
- 10 years agoHelpfull: Yes(0) No(0)
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