SOLUTION: Could you explain the product rule of exponents. Why does it work. Give examples

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Question 496636: Could you explain the product rule of exponents. Why does it work. Give examples
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
If you presume the product rule is the property that

(unlike the product rule regarding derivatives of functions)

consider that multiplying x "a" times, followed by multiplying x "b" times will simply result in multiplying x "a+b" times. For example,