Question

Find the number of zeroes in the value of:
$2^2\times 5^4\times 4^6\times {10}^8\times 6^{10}\times {15}^{12}\times 8^{14}\times {20}^{16}\times {10}^{18}\times {25}^{20}$ ___

Answer 1

The number of fives is again fewer than the number of twos.
The number of 5's will be given by the power of 5 in the product:
$5^4\times {10}^8\times {15}^{12}\times {20}^{16}\times {10}^{18}\times {25}^{20}$
= 4 + 8 + 12 + 16 + 18 + 40 = 98