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You are watching: Prove or disprove that if a and b are rational numbers then a^b is also rational

Hey guys,I"m grounding on a trouble that I assumed would be easy. That goes like this:Prove or disprove the if a and b space rational numbers, climate (a^b) is likewise rational.I thought I can do the by making use of proof by situations in i m sorry I changed the worths of a and b through rational and also irrational numbers, yet obviously the didn"t work because you can"t prove EVERY case by act this. Ns don"t know what to carry out now, so ANY help would really help. Thanks!!
Hey guys,I"m stuck on a trouble that I believed would be easy. That goes prefer this:Prove or disprove the if a and also b are rational numbers, climate (a^b) is additionally rational.I thought I might do the by making use of proof by cases in which I readjusted the values of a and b through rational and irrational numbers, however obviously that didn"t work since you can"t prove EVERY situation by law this. I don"t recognize what to perform now, therefore ANY aid would really help. Thanks!!
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Reactions:collegestudent321
ohhhhhhhhhh ok... So that means that its no true cuz a = 2 and also b = 1/2 is a counterexample, right?????
ohhhhhhhhhh ok... So that method that its not true cuz a = 2 and b = 1/2 is a counterexample, right?????
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