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

question 8

Short Answer

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

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Definitions:

Trust Vs. Mistrust

Erickson's first stage of psychosocial development where infants learn to trust others based on the consistency of caregivers' responses, or develop mistrust.

Autonomy Vs. Self-Doubt

A stage in Erik Erikson's theory of psychosocial development where toddlers work to master physical environment while maintaining a sense of self-control and autonomy, as opposed to feeling inadequate and doubtful of their abilities.

Introversion Vs. Extroversion

A personality dimension referring to the extent to which an individual is inwardly or outwardly focused, affecting energy direction, social behavior, and stimulus response.

Trust Vs. Mistrust

A stage in Erik Erikson's theory of psychological development where an infant learns to trust others if their needs are consistently met or develops mistrust if not.