Divide Algebraic Terms with Powers

This activity is about the division of algebraic terms with powers.

Example

Do the following division.

Answer

Remember what a⁹ and a³ mean and divide them. We get: 

 a x a x a x a x a x a x a x a x a

a x a x a

Each a from the bottom of the fraction will cancel out with an a from the top leaving a⁶

This process can be simplified into the rule

a^m ÷ aⁿ = a^m-n

Let's have a go at applying that rule in the questions that follow.