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

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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?

Stars in the universe

Grains of sand on the world's beaches

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Solve It! Explain your reasoning.

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

No; Since x and y are different bases, the expression can not be written as a single power.

Yes;

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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?

Always

Sometimes

Never

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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).

N.RN.1

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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.

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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.

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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.

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

14, 18, 22

18, 34, 46

3, 14, 25

10, 26, 46

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Review Lesson 7-1: Simplify the expression.

1/16

-1/8

8

-16

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Review Lesson 7-1: Simplify the expression.

5x

1

xy

5xy

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Review Lesson 7-1: Simplify the expression.

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

n
-5
-3
4
5
8

Bases
Exponents

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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

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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.

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

Solve It! Explain your reasoning.

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 3 Got It?

Problem 4 Got It?

Problem 4 Got It?

Problem 4 Got It?

Problem 5 Got It?

Problem 5 Got It?

Problem 5 Got It?

Problem 6 Got It?

Problem 6 Got It?

Problem 6 Got It?

Problem 6 Got It?

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

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?

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

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.

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.

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.

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

Review Lesson 7-1: Simplify the expression.

Review Lesson 7-1: Simplify the expression.

Review Lesson 7-1: Simplify the expression.

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

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

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.

Reflection: Math Success

Solve It! Explain your reasoning.

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 3 Got It?

Problem 4 Got It?

Problem 4 Got It?

Problem 4 Got It?

Problem 5 Got It?

Problem 5 Got It?

Problem 5 Got It?

Problem 6 Got It?

Problem 6 Got It?

Problem 6 Got It?

Problem 6 Got It?

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

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?

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

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.

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.

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.

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

Review Lesson 7-1: Simplify the expression.

Review Lesson 7-1: Simplify the expression.

Review Lesson 7-1: Simplify the expression.

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

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

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.

Reflection: Math Success

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?

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

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.

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.

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.

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.

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?

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

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.

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.

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.

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.