Find the highest power of 9 in 100!Choices:- 24 26 28 30
Question
Find the highest power of 9 in 100!Choices:- 24 26 28 30
Solution
To find the highest power of 9 in 100!, we need to count the number of times 9 can divide 100!.
Step 1: Divide 100 by 9. The quotient is 11. This means that there are 11 numbers in the range 1 to 100 that are divisible by 9.
Step 2: Divide 100 by 9^2 (81). The quotient is 1. This means that there is 1 number in the range 1 to 100 that is divisible by 81.
Step 3: Add the results from step 1 and step 2. 11 + 1 = 12.
So, the highest power of 9 in 100! is 12. However, none of the choices provided (24, 26, 28, 30) match this answer. There might be a mistake in the question or the choices provided.
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