Students explore the rules of exponents by first testing conjectures for the Product of Powers with like bases.

They will see that the exponents of like bases are added to find the result.

Students move on to Quotient of Powers in which the exponents are subtracted to determine a result.

Students continue to explore Exponent Rules by moving on to Power of a Power rule.
Students will see that the exponents are multiplied. 

They will also explore raising a base raised to the power of 0.

They will see that any number raised to the power of zero is one, except 0^0  is undefined.

Students then look at negative exponents.

They further explore by investigating the Power of a Product Rule and Power of a Quotient rule, where y ≠ 0.

In the extension, students make a conjecture and determine the result of expressions in the form of x^1/n.

At the end of this activity students will be able to apply the Rules of Exponents. They will evaluate simple numerical expressions raised to integral exponents including zero.