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Illustrative Math
Grade 8
Let’s practice with exponents.
Illustrative Math Unit 8.7, Lesson 7 (printable worksheets)
In the past few lessons, we found rules to more easily keep track of repeated factors when using exponents. We also extended these rules to make sense of negative exponents as repeated factors of the reciprocal of the base, as well as defining a number to the power of 0 to have a value of 1. These rules can be written symbolically as:
In this lesson, we practiced using these exponent rules for different bases and exponents.
Which expression doesn’t belong?
Mark each equation as true or false. What could you change about the false equations to make them true?
3^{x-5} = 9^{x+4}
3^{x-5} = (3^{2})^{x+4}
x - 5 = 2(x + 4)
x - 5 = 2x + 8
x = -13
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