Power of a Product Worksheet
Practice worksheet for 7th graders on understanding and applying the power of a product rule in exponents.
Includes
Standards
Topics
Power of a Product Rule
Name:
Date:
Score:
Read each question carefully and apply the power of a product rule to simplify the expressions.
1. The power of a product rule states that (ab)ⁿ = aⁿbⁿ. This means you the exponent to each factor inside the parentheses.
2. When simplifying (2x)³, you would calculate 2³ which is 8, and x³ which is x³. So, (2x)³ = .
3. The expression (3y²)⁵ simplifies to 3⁵y¹⁰, which is .
4. Simplify: (4a)³
5. Simplify: (5x²)²
6. Simplify: (-2xy)⁴
7. Which of the following is equivalent to (3m⁴)³?
9m⁷
9m¹²
27m⁷
27m¹²
8. What is the simplified form of (p³q⁵)²?
p⁵q⁷
p⁶q¹⁰
p⁶q⁵
p³q¹⁰
9. The expression (5 + x)² is equal to 5² + x².
True
False
10. (ab)ⁿ = aⁿbⁿ is the correct representation of the power of a product rule.
True
False
11. Explain in your own words why (2x)³ is not equal to 2x³.
Related Worksheets
Greatest Common Divisor (GCD) Worksheet
Practice finding the Greatest Common Divisor (GCD) of numbers, including prime factorization and real-world problems for Grade 7 math.
Properties of Integers Worksheet
Explore and apply the properties of integers including commutative, associative, distributive, identity, and inverse properties with this grade 7 math worksheet.
Prime Factorization Practice
A Grade 7 math worksheet focused on understanding and applying prime factorization.
Understanding Zero - Grade 7 Math
A worksheet for 7th graders focusing on the concept of zero, its properties in arithmetic operations, and its representation on the number line.
Greatest Common Factor (GCF) Worksheet
A Grade 7 worksheet focused on finding the Greatest Common Factor (GCF) of numbers, including practice problems and word problems.