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?