Why does the division property of exponents work

The video tutorial explains how the rules of exponents allow for the division of monomials. It introduces the concept of subtracting exponents when dividing monomials with the same base. An example is provided using 3^3 divided by 3^2, demonstrating the cancellation of terms and the resulting exponent. The tutorial emphasizes the importance of having the same base for the rule to apply and concludes with a summary of the process.

What happens when the bases of the monomials are not the same?

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Why is it important to understand the rules of exponents when dividing monomials?

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