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 is the rule for dividing monomials with the same base?

• Add the exponents

• Multiply the exponents

• Subtract the exponents

• Divide the exponents

In the example given, what is the result of 3^3 divided by 3^2?

• 3^2

• 3^1

• 3^0

• 3^3

How many times is the base 3 multiplied by itself in the simplified form of 3^3 / 3^2?

• Two times

• Three times

• Zero times

• One time

Why is it important for the bases to be the same when dividing monomials?

• To ensure the exponents can be added

• To ensure the exponents can be subtracted

• To ensure the exponents can be multiplied

• To ensure the exponents can be divided

What should you do if the bases are not the same when dividing monomials?

• Multiply the bases

• Add the exponents

• Subtract the exponents

• Convert the bases to be the same