Free Printable WorksheetMathGrade 8Math Curriculum8.EE.A.1

8.24 Using the Product of Powers Property Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.24 Using the Product of Powers Property. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.24 Using the Product of Powers Property - Which simplified expression correctly applies the product of powers property? (CCSS 8.EE.A.1; CA 8.EE.A.1; MA 8.EE.A.1)

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 8

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 8.24 Using the Product of Powers Property skill assessments:

Problem 1Difficulty: Hard
A student claims 2m^-3n4 * 3m5n^-1 = 6m15n3. What is the correct simplification?
A6m2n3
B5m2n3
C6m15n3
D6m2n^-5
Solution & Explanation:Multiply coefficients to get 6. Then add the exponents on each variable: m^(-3+5) = m2 and n^(4+(-1)) = n3.
Problem 2Difficulty: Hard
Which choice matches x2 * x^-2 * x5 * y^-3?
Ax5y^-3
By^-3
Cx^-5y^-3
Dx9y^-3
Solution & Explanation:On x, add 2 + (-2) + 5 = 5. The y^-3 factor stays the same.
Problem 3Difficulty: Hard
Fill in the missing exponent: 4a^-3b^? * 2a5b^-6 = 8a2b1
Solution & Explanation:The coefficients already make 8. For b, the exponents must satisfy ? + (-6) = 1, so ? = 7.

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 8 Math students. It aligns with educational standard 8.EE.A.1 (Primary standard selected for prompt fields: CCSS 8.EE.A.1. Skill statement: Which simplified expression correctly applies the product of powers property? Associated standards listed with this skill: CCSS 8.EE.A.1; CA 8.EE.A.1; MA 8.EE.A.1. Use this embedded wording as the best available supporting standard description for this workflow.).

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