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

**Example**

Simplify:

10a^{3} |

15a^{2} |

**Answer**

Remember what 10a^{3} and 15a^{2} mean and divide them.

We get:

10 x a x |

15 x |

Each a from the top of the fraction will cancel out with an a from the bottom, leaving just one a the top.

However, we need not write out our method like this each time.

Remember the rules of indices for division:

a** ^{m }÷ **a

**a**

^{n}=

^{m-n}

In this example, we would calculate a^{3 - 2} = a^{1} or a

This gives us

10a |

15 |

which reduces by dividing the top and bottom by 5 to

2a |

3 |

Remember that we can use letters other than a when we write algebraic terms - and that these have to be alike to cancel each other out.