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Multiplying Powers Worksheet

Practice worksheet for 8th graders on multiplying powers with the same base and different bases.

Grade 8 Math Number SenseExponentsMultiplying Powers
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseLong Answer

Standards

CCSS.MATH.CONTENT.8.EE.A.1

Topics

mathexponentspowersmultiplicationgrade 8
7 sections · Free to use · Printable
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Multiplying Powers

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Date:

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Read each question carefully and apply the rules of multiplying powers to find the correct answer. Show your work where necessary.

1. Simplify: 5³ × 5⁴

a

5⁷

b

5¹²

c

25⁷

d

25¹²

2. Which expression is equivalent to (x²)³?

a

x⁵

b

x⁶

c

x⁸

d

x⁹

3. To multiply powers with the same base, you   the exponents.

4. The simplified form of (3a²) * (4a³) is  .

5. Explain the product of powers rule in your own words. Provide an example.

6. Is the statement 2³ × 2² = 4⁵ true or false?

T

True

F

False

7. The expression (x⁴y²)³ simplifies to x¹²y⁶.

T

True

F

False

8. A scientist is observing a bacterial culture. The initial population is 10² bacteria. After one hour, the population multiplies by 10³. After another hour, it multiplies by 10⁴. What is the total bacterial population after two hours, expressed as a single power?