Unit 7, Lesson 7
Practice with Rational Bases
Grade 8
7.1
Warm-up
Which three go together? Why do they go together?
A
B
C
D
7.2
Activity
For each expression, write at least 3 different equivalent expressions.
7.3
Activity
Mark each equation as true or false. What could you change about the false equations to make them true?
Student Lesson Summary
We can keep track of repeated factors using exponent rules. These exponent rules work with other bases in exactly the same way as they did with a base of 10. For example,
The exponent rules also work with negative exponents. For example, to write with a single positive exponent, we can write .
These rules do not work when the bases are not the same. For example . We can check this by expanding the factors: , which is not equal to 3 factors that are 2.
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