Use Mathematical Induction to Prove the Given Statement for All $$( x y ) ^ { n } = x ^ { n } y ^ { n }$$

question 150

Short Answer

Use mathematical induction to prove the given statement for all positive integers n and real numbers x
and y.
- $$( x y ) ^ { n } = x ^ { n } y ^ { n }$$

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Definitions:

James Marcia

A psychologist best known for his work on adolescent identity development, particularly for developing the identity status model which includes foreclosure, identity diffusion, moratorium, and identity achievement.

Identity Formation

The development of a coherent and stable sense of self that encompasses personal values, beliefs, and roles, influenced by various social and psychological factors.

Crisis/Exploration

A developmental phase where individuals may question their identity, values, and direction in life, often leading to significant personal growth or change.

Commitment

The condition of being committed to a purpose, task, or connection.