Students will begin by reviewing how to cancel common factors. After that, students will learn what the quotient of powers rule for exponents is. Then students will see an informal proof. After that, students will learn how to use the quotient of powers rule to simplify algebraic fractions raised to the power of some integer. They'll start with fractions where distributing the exponent properly and raising integers to integer powers are the only steps. Then students will practice simplifying fractions where common factors are cancelled before distributing the exponent.
Next, give your students these challenges:
Conclude by leading this investigation: