a) A guy picks up a positive rational number and multiplies it by itself three times i.e. he calculates x x and gets a result. Then he multiplies this result by itself two times I.e. he calculates result x result and gets another result. Finally he multiplies this result by b-3 and divides by a-2. Express the final result by using exponents (avoid negative powers in the result)

a) A guy picks up a positive rational number and multiplies it by itself three times i.e. he calculates x x and gets a result. Then he multiplies this result by itself two times I.e. he calculates result x result and gets another result. Finally he multiplies this result by b-3 and divides by a-2. Express the final result by using exponents (avoid negative powers in the result)

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.2: Mathematical Induction

Problem 50E: Show that if the statement 1+2+3+...+n=n(n+1)2+2 is assumed to be true for n=k, the same equation...

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Similar questions

Show that if the statement 1+2+3+...+n=n(n+1)2+2 is assumed to be true for n=k, the same equation can be proved to be true for n=k+1. Explain why this does not prove that the statement is true for all positive integers. Is the statement true for all positive integers? Why?
Use the fact that 3 is a prime to prove that there do not exist nonzero integers a and b such that a2=3b2. Explain how this proves that 3 is not a rational number.

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