Question

Find the highest power of 5 which can divide 22! + 17000!




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Answer 1

Answer:

22+17000/5

Step-by-step explanation:

Answer 2

The highest power of 5 which can divide 22!+17000=4

Step-by-step explanation:

$22!+17000$

Formula:$n!=n(n-1)(n-2)...2\cdot 1$

$22\cdot 21\cdot 20..\cdot 15\cdot 14..\cdot 10\cdot..5\cdot 4\cdot 3\cdot 2\cdot 1$

Multiple of 5 in 22! are

20,15,10,5

Power of 5 which divided 22!=$5\times 5\times 5\times 5=5^4$

$17000=17\times 2^3\times 5^3$

Power of 5 which divide 17000=3

Lcm$(5^4,5^3)=5^4$

Therefore, the highest power of 5 which can divide 22!+17000=4

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https://brainly.in/question/14345211:answered by Siddharta