Exponent Problems

Product of Powers

Simplify:

Product of Powers

What is the rule for product of powers?


Make your own problem and solve it.

Pre-Skill Review

Complete #4, 5, and 8.

Word Problem

Farmer Peter and Farmer Paula are picking apples from their apple trees. Farmer Peter as already picked 287 apples. Farmer Peter picks another 5 apples each minute. Farmer Paula has already picked 154 apples. Farmer Paula picks another 6 apples each minute.

How long will it take for Peter and Paula to pick the same number of apples?



After 10 minutes who has picked more apples, Peter or Paula?

Application Problems

You want to go to your uncle’s house. You have two options. Option A is to take a taxi which will cost you $10 plus $1.5 per additional mile. Option B is to drive by yourself. The cost of gasoline is $2 per mile. 

Write a system of equations in order to solve this problem.


After how many miles will the total costs of the two options be the same? 

Word Problems

Jared can make one Christmas ornament a minute, and he already has five made. Marissa can make three ornaments every two minutes, but does not have any made.


 If they both start working at the same time, how many minutes will it take for Marissa and Jared to have the same number of ornaments made?



How many ornaments does each have made when they are tied?

Writing Equations

Wendy is starting a catering business and is attempting to figure out who she should be using to transport the food to different locations. She has found two trucking companies that are willing to make sure her food arrives intact. Peter’s Pick Up charges $0.40 per mile and charges a flat fee of $68. Helen’s Haulers charges $0.65 per mile and charges a flat fee of $23.