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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 168

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

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