Question

How many zeroes will be there at the end of the expression 7 * 14* 21*
*707​

Answer 1

Answer:

Step-by-step explanation:

21 zeroes are there.

Plz Mark as brailiest answer

Answer 2

Zeroes at the end of the expression $7*14*21*..*707$

Definition:

Zeroes at the end of the expression can be easily found by calculating the number of times $2$ and $5$ occurred in the expression.

Evaluation:

In the given expression,$7*14*21*..*707$,every fifth terms is a multiple of 5.

The given expression ,$7*14*21*..*707$ can be written as follows

$(7*1)*(7*2)*(7*3)*..*(7*101)\\=7^{101} (1*2*3*..*101)\\=7^{101}*101!$

Now we can solve the factorial

$101!=(101/5)+(101/5^2)\\=20+4\\=24$

Therefore,the number of zeroes at the end of the expression $7*14*21*..*707$ is $24$