Free Printable WorksheetMathGrade 7Math Curriculum7.49

7.49 Laws of exponents with rational bases Worksheet

Download our free printable Grade 7 Math worksheet on 7.49 Laws of exponents with rational bases. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.49 Laws of exponents with rational bases. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.49 Laws of exponents with rational bases - In multiple-choice items, students choose the equivalent expression that correctly applies a law of exponents and select the simplified value when appropriate. (FL MA.7.NSO.1.1; VA 7.NS.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 7

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 7.49 Laws of exponents with rational bases skill assessments:

Problem 1Difficulty: Mastery
What is the value of (3⁄2)⁻³ · (8⁄27)⁻¹?
A27⁄8
B8⁄27
C9⁄4
D1
Solution & Explanation:(8⁄27)⁻¹=(3⁄2)³, and (3⁄2)⁻³·(3⁄2)³ = 1.
Problem 2Difficulty: Mastery
Evaluate: ((2⁄3)⁻²)⁻³
Solution & Explanation:Power of a power: (2⁄3)⁻² raised to −3 gives (2⁄3)⁶ = 64⁄729.
Problem 3Difficulty: Mastery
Simplify and evaluate: ((4⁄7)⁵ · (7⁄4)²) ÷ (4⁄7)¹
A4⁄7
B49⁄16
C16⁄49
D64⁄343
Solution & Explanation:(7⁄4)²=(4⁄7)⁻², so 5 + (−2) − 1 = 2 → (4⁄7)²=16⁄49.

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Frequently Asked Questions

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QIs this 7.49 Laws of exponents with rational bases worksheet free for teachers and homeschoolers?

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QCan students practice 7.49 Laws of exponents with rational bases online with instant feedback?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 7 Math students. It aligns with educational standard 7.49 (Practice and review Grade 7 math skill 7.49: Laws of Exponents with Rational Bases.).

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