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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

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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.

This problem has been solved

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