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:

Thymine Dimers

Molecular lesions formed by covalent bonding between two adjacent thymine bases in DNA, often as a result of ultraviolet radiation.

UV Light

Ultraviolet light, a type of electromagnetic radiation with wavelengths shorter than visible light but longer than X-rays, harmful to living tissue.

Cytosine Dimers

Incorrect pairing of cytosine bases that can occur due to damage, often caused by ultraviolet radiation, leading to mutations.

Purine Base

A type of nitrogenous base found in DNA and RNA, including adenine and guanine, which are essential for genetic information.