When dividing, if the bases are the same the exponents can be subtracted. For this video we are going to look at the division properties of exponents and what we need to remember is what is anything.When you divide the same base here with exponents you can just subtract the exponents and you get the correct answer without going through. To simplify expressions with exponents, there are a few properties that may help. Cluster: Extend the properties of exponents to rational exponents. Standards. Clarifications. To simplify expressions with exponents, there are a few properties that may help. Modular exponentiation is exponentiation performed over a modulus. British soldiers had a leading role in this, helping to hunt war criminals, rebuild industry and deal with displaced persons.