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Use Mathematical Induction to Prove the Given Statement for All (xy)n=xnyn provided that y0\left( \frac { x } { y } \right) ^ { n } = \frac { x ^ { n } } { y ^ { n } } \text { provided that } \mathrm { y } \neq 0

question 127

Short Answer

Use mathematical induction to prove the given statement for all positive integers n and real numbers x
and y.
- (xy)n=xnyn provided that y0\left( \frac { x } { y } \right) ^ { n } = \frac { x ^ { n } } { y ^ { n } } \text { provided that } \mathrm { y } \neq 0


Definitions:

Antigens

Substances that the immune system recognizes as foreign or dangerous, eliciting an immune response, often found on pathogens or produced by them.

Leukocytes

White blood cells, part of the immune system, involved in protecting the body against both infectious disease and foreign invaders.

Neutrophils

A type of white blood cell that plays a pivotal role in defending the body against infection by ingesting bacteria and fungi.

Monocytes

A type of white blood cell that plays a key role in the immune response by phagocytizing pathogens and dead cells.

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