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

question 127

Short Answer

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

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Definitions:

Monopolistically Competitive

A market structure where many firms sell similar but not identical products, allowing them some power to influence prices.

Efficient Use of Resources

An economic condition where resources are allocated in the most effective manner possible to meet the needs and desires of consumers.

Long-Run Equilibrium

A state in which all firms in a market or industry are making normal profits and there is no incentive for firms to either enter or exit the market.

Price

The monetized value required, forecasted, or offered in return for a service or good.