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Algebra 1 7-2 Complete Lesson: Multiplying Powers With the Same Base

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Last updated almost 4 years ago
39 questions
Note from the author:
A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.
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Question 1
1.

Solve It! Scientists estimate the number of stars in the universe using this exponential expression.
The number of grains of sand in a cubic meter of beach sand can be approximated using this expression.
Suppose all of the sand from the world's beaches is combined into one large beach, as shown in the diagram. Are there more stars in the universe or grains of sand on the world's beaches?

15
Question 2
2.

Solve It! Explain your reasoning.

10
Question 3
3.

Problem 1 Got It?

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Question 4
4.

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Question 5
5.

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Question 6
6.

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Question 7
7.

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Question 8
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Question 9
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Question 10
10.

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Question 11
11.

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Question 12
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Question 13
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Question 14
14.

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Question 15
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Question 16
16.

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Question 17
17.

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Question 18
18.

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Question 19
19.

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Question 20
20.

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Question 21
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Question 22
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Question 23
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Question 24
24.
Question 25
25.

Writing: Can the expression be written as a single power? Explain your reasoning.

Question 26
26.

Reasoning: Suppose that the expressions here represent two numbers in scientific notation.
Is their product, expressed below, always, sometimes, or never a number in scientific notation?

Question 28
28.

Error Analysis: Your friend makes this statement.
Explain your firend's error. What is the correct answer?

You may use the following notation to represent rational exponents in plain text: 4a^(1\2).
Question 29
29.

Review Lesson 6-3: Solve the system. Use graphing, substitution, or elimination.
If a single solution exists, write the solution in exactly this format: "(5, -2)". Otherwise, write "No solution" or "Infinitely many solutions" to classify the system.

Question 30
30.

Review Lesson 6-3: Solve the system. Use graphing, substitution, or elimination.
If a single solution exists, write the solution in exactly this format: "(5, -2)". Otherwise, write "No solution" or "Infinitely many solutions" to classify the system.

Question 31
31.

Review Lesson 6-3: Solve the system. Use graphing, substitution, or elimination.
If a single solution exists, write the solution in exactly this format: "(5, -2)". Otherwise, write "No solution" or "Infinitely many solutions" to classify the system.

Question 32
32.

Review Lesson 4-7: Find the third, seventh, and tenth terms of the sequence described by the rule.

Question 33
33.

Review Lesson 7-1: Simplify the expression.

Question 34
34.

Review Lesson 7-1: Simplify the expression.

Question 35
35.

Review Lesson 7-1: Simplify the expression.

Question 36
36.

Vocabulary Review: Identify and categorize the bases and exponents from the expressions below.

  • n
  • -5
  • -3
  • 4
  • 5
  • 8
  • Bases
  • Exponents
Question 37
37.

Use Your Vocabulary: Categorize each expression based on whether or not it can be written as repeated multiplication.

  • Can be written as repeated multiplication
  • CANNOT be written as repeated multiplication
Question 38
38.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

Question 39
39.

Reflection: Math Success