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

8.27 Using Power of a Product and Power of a Quotient Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.27 Using Power of a Product and Power of a Quotient. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.27 Using Power of a Product and Power of a Quotient - Which rewritten expression correctly applies a power of a product or power of a quotient? (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 8.27 Using Power of a Product and Power of a Quotient skill assessments:

Problem 1Difficulty: Hard
Which expression is equivalent to (-d2e / 2f2g)2?
A-d4e2 / 2f4g2
B-d4e2 / f4g2
Cd4e2 / 4f2g
Dd4e2 / 4f4g2
Solution & Explanation:A power outside parentheses applies to every factor inside. Multiply each exponent by 2 and raise the coefficient to the 2nd power. That gives d4e2 / 4f4g2.
Problem 2Difficulty: Hard
Choose the expression whose simplified form is 27a6b3 / 8c9.
A(3a2b / 2c3)2
B(3a2b / 2c3)4
C(2a2b / c3)3
D(3a2b / 2c3)3
Solution & Explanation:When a whole product or quotient is raised to the 3rd power, the outside exponent applies to the coefficient and to every variable inside. Simplifying (3a2b / 2c3)3 gives 27a6b3 / 8c9.
Problem 3Difficulty: Hard
Which original expression could be rewritten as -8r3s6 / t3?
A(-2rs2 / t)2
B(-2rs2 / t)4
C(-2rs2 / t)3
D(-3rs2 / t)3
Solution & Explanation:When a whole product or quotient is raised to the 3rd power, the outside exponent applies to the coefficient and to every variable inside. Simplifying (-2rs2 / t)3 gives -8r3s6 / t3.

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Frequently Asked Questions

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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 rewritten expression correctly applies a power of a product or power of a quotient? 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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