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Prove or Disprove  If a and b are rational numbers (not equal to zero), then ab is rational. \text { If } a \text { and } b \text { are rational numbers (not equal to zero), then } a ^ { b } \text { is rational. }

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Prove or disprove:  If a and b are rational numbers (not equal to zero), then ab is rational. \text { If } a \text { and } b \text { are rational numbers (not equal to zero), then } a ^ { b } \text { is rational. }

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