My 8th graders have been exploring Exponents. They’ve “discovered” the Product rule. * “Why would I waste my time writing out all those 5s if I could just add the exponents?*” And most immediately wanted to try subtracting exponents for the Quotient rule. *“You know, because multiplication and division are opposites.” *

We had time before the bell today to squeeze in a couple of predictions as pictured. If the Quotient rule says we can simply subtract our exponents, that means we could potentially come up with an exponent of zero or a negative exponent. What would that look like? How would that work?

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