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The table contains products of expressions with different bases and the same exponent. Complete the table to see how we can rewrite them. Use the “expanded” column to work out how to combine the factors into a new base.
| expression | expanded | exponent |
|---|---|---|
Your teacher will give your group tools for creating a visual display to play a game. The goal is to write as many expressions as you can that equal a specific number, using any of the exponent rules that we have learned:
When the time is up, compare your expressions with another group to see how many points you earned.
In this lesson, we developed a rule for combining expressions with the same exponent but different bases: The factors can be regrouped and raised to the same exponent.
To see this, expand into three factors that are 2 and three factors that are 5. Regroup the factors into three groups of , or three groups of 10.