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Formulate a conjecture about the decimal digits that
Chapter 8, Problem 27E(choose chapter or problem)
QUESTION:
Formulate a conjecture about the decimal digits that appear as the final decimal digit of the fourth power of an integer. Prove your conjecture using a proof by cases.
Questions & Answers
QUESTION:
Formulate a conjecture about the decimal digits that appear as the final decimal digit of the fourth power of an integer. Prove your conjecture using a proof by cases.
ANSWER:Solution:Step 1 :We have to formulate a conjecture about the decimal digits that appear as the final decimal digit of the fourth power of an integer.First we see that…………Finally decimal digit of the fourth power of an integer would be 0.1.5 and 6 only