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9/26/2016 National Go Math Middle School, Grade-8
https://my.hrw.com/content/hmof/math/gomath/na/gr8/interactive_student_edition_9780544083080_/index.html 2/5
Guided Practice
Find the value of each power. (Explore Activity 1)
1. 8−1 = 2. 6−2 = 3. 2560 =
4. 102 = 5. 54 = 6. 2−5 =
7. 4−5 = 8. 890 = 9. 11−3 =
Use properties of exponents to write an equivalent expression. (Explore Activity 2)
10.
11.
12. 13.
14. 15.
16. 17.
18. (10 − 6)3 · 42 + (10 + 2)2 19.
ESSENTIAL QUESTION CHECK-IN
20. Summarize the rules for multiplying powers with the same base, dividingpowers with the same base, and raising a power to a power.
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36 Unit 1
Copyright © 2012 by Houghton Mifflin Harcourt Publishing Company
9/26/2016 National Go Math Middle School, Grade-8
https://my.hrw.com/content/hmof/math/gomath/na/gr8/interactive_student_edition_9780544083080_/index.html 4/5
Name
Class Date
2.1 Independent Practice8.EE.1
21. Explain why the exponents cannot be added in the product 123
· 113
.
22. List three ways to express 35
as a product of powers.
23. Astronomy The distance from Earth to the moon is about 224
miles.
The distance from Earth to Neptune is about 227
miles. Which distance is
the greater distance and about how many times greater is it?
24. Critique Reasoning A student claims that 83
· 8 −5
is greater than 1.
Explain whether the student is correct or not.
Find the missing exponent.
25. 26. 27.
28. Communicate Mathematical Ideas Why do you subtract exponents
when dividing powers with the same base?
29. Astronomy The mass of the Sun is about 2 × 1027
metric tons, or
2 × 1030
kilograms. How many kilograms are in one metric ton?
30. Represent Real-World Problems In computer technology, a kilobyte is
210
bytes in size. A gigabyte is 230
bytes in size. The size of a terabyte is
the product of the size of a kilobyte and the size of a gigabyte. What is the
size of a terabyte?
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Lesson 2.1 37
Copyright © 2012 by Houghton Mifflin Harcourt Publishing Company