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number theory
number theory  
QUESTION: question is in the image

ANSWER: 3^33 = (3^3)^11, do you agree? And 3^3 is 27 and 27/25 = 1  2/25 and thus  has a fractional part of 2/25. Now there are 11 of these so we have 11(2/25) = 22/25

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---------- FOLLOW-UP ----------

QUESTION: Sir I am an eleventh standard student.I could not understand your solution.plzzzz explain clearly !!

Answer
3 to the 33rd power is the same as 3 cubed all to the 11th power. 3 cubes is 3*3*3 = 27. You are dividing by 25 so you have 27/25 which equals 1 and 2/25. This will happen 11 times since you are taking 3 cubed = 27 to the 11th power. So 11 times 2 = 22 over 25.

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Sherry Wallin

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I can answer most questions up through Calculus and some in Number Theory and Abstract Algebra.

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I have had my Bachelor's Degree since 1987 and have been a teacher since 1988. I earned my Masters Degree in Mathematics May 2010. I have been teaching at the same community college since 2002.

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I have taught 12 years at the community college level, medical college, and technical college as well as a high school instructor and alternative education instructor and charter school instructor.

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