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

**Example**

Simplify:

10a^{2}b^{5} |

15a^{3}b^{2} |

**Answer**

Remember what 10a^{2}b^{5} and 15a^{3}b^{2} mean and divide them by subtracting the relevant indices.

We get:

10 x |

15 x a x |

Cancel down a matching number of **a terms** from the top of the fraction with **a terms** from the bottom. Similarly with **b terms.**

This leaves us:

10 x b x b x b |

15 x a |

which reduces by dividing top and bottom by 5 to

2b^{3} |

3a |