Multiplying Powers Worksheet
Practice worksheet for 8th graders on multiplying powers with the same base and different bases.
Includes
Standards
Topics
Multiplying Powers
Name:
Date:
Score:
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
5⁷
5¹²
25⁷
25¹²
2. Which expression is equivalent to (x²)³?
x⁵
x⁶
x⁸
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?
True
False
7. The expression (x⁴y²)³ simplifies to x¹²y⁶.
True
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?
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