Math, asked by NBArun, 1 year ago

Find The Number Of Zeros in 1^12^23^34^4 …. 48^4849^49 ?

lipi: i think there will be no zero

NBArun: explain

lipi: sorry ans is 10 to power 225

lipi: 10^10*10^20*10^30

lipi: 10^10*10^20*10^30*10^40*10^5*10^15*10^25*10^35*10^45

NBArun: i got ans but need explanation...total zeros at the end of product 5^5 x 10^10 x 15^15 x 20^20 x 25^25 x 30^30 x 35^35 x 40^40 x 45^45 will be 5+10+15+20+50+30+35+40+45 = 250 zeros

Answers

Answered by priyambaksi

10^10 * 20^20 *30^30 * 40^40 = so the number of zero is $10^{144}$

priyambaksi: if you consider 10 than you will get less number of zero

priyambaksi: thats because from 1-10, 5 is the only number which can contribute a zero.

NBArun: k..k..pls send the step by step sum because i dint understand fully

priyambaksi: 5^5 contributes 5 5's
10^10 contributes 10 5's
15^15 -> 15 5's
20^20 -> 20 5's
25^25 -> 5^50 that is 50 5's
30^30-> 30 5's
35^ 35-> 35 5's
40^40-> 40 5's
45^45 -> 45 5's

NBArun: 5^5 is it equal to 5*5*5*5*5

priyambaksi: yes but 5 is the one which brings a zero (5+5)

NBArun: how five is 1??

priyambaksi: just look........1^1 x 2^2 x 3^3 x 4^4 x 5^5 so on so far. now 5^5 in the first digit systen which can brings a zero. (5^5 x 10^10) = 13 zeros.

NBArun: how in this 5^5 contributes 5 5's

lipi: your ans. is wrong here 5^5*4^4 will give something * 10^5 similarly 15^15*16^16 will give something *10^15...............

Answered by psachdeva25

answer is 1 as anything raise to power 1 is 1

NBArun: 1^1 is 1 is correct but the full sum Find the number of zeros in 1^1* 2^2*3^3...49^49*50^50

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Find The Number Of Zeros in 1^1*2^2*3^3*4^4 …. 48^48*49^49 ?

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Find The Number Of Zeros in 1^12^23^34^4 …. 48^4849^49 ?