Home
Class 12
MATHS
Find the number of zeros at the end in p...

Find the number of zeros at the end in product `5^6 .6^7 .7^8 .8^9 .9^(10) .30^(31)` .

Text Solution

Verified by Experts

Given product
`P=5^(6).6^(7).7^(8)..(30)^(31)`
`=[(5)^(6)(10)^(11)(15)^(16)(20)^(21)(25)^(26)(30)^(31)]lamda " " ("where" lamda " is an integer")`
`therefore` Exponent of 5 in P=6+11+16+21+2(26)+31=137
`therefore` Number of zeros =137
Promotional Banner

Similar Questions

Explore conceptually related problems

Convert the following products into factorial: 6.7.8.9.10

Find the mode of the data 7, 8, 9, 9, 10, 7, 11, 10, 7, 6.

Find the greatest number of six digits which on being divided by 6,7,8,9 and 10 leaves 4,5,6,7 and 8 in remainder respectively.

Find the mean of the numbers 7.6, 6.8, 8.5, 9.4, 5.9, 6.4, 9.1 and 4.7

Find the mean of the following distribution: 4 6 9 10 15 5 10 10 7 8

Find the mode from the following data : 8,10,5,8,12,7,8,9,11,7

Convert the following products into factorials 5*6*7^(*)8^(*)9^(*)10

the mode of the data 8, 4, 5, 3, 6, 7, 7, 8, 4, 6, 8, 9 and 9 is 7.