Laws of Exponents
Authored by Patricia Combs
Mathematics
8th Grade
CCSS covered
Used 3K+ times
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About
This quiz focuses on the fundamental laws of exponents, specifically targeting 8th-grade algebra concepts that form the foundation for advanced mathematical operations. Students must demonstrate mastery of the product rule (adding exponents when multiplying powers with the same base), the quotient rule (subtracting exponents when dividing powers with the same base), and the power of a power rule. The questions require students to understand that exponent operations follow specific patterns rather than intuitive arithmetic, such as knowing that 4³ · 4⁵ equals 4⁸, not 4¹⁵. Students must also distinguish between exponential form and standard form, convert between these representations, and work with negative exponents that result from quotient rule applications. The complexity level demands abstract thinking about mathematical properties and the ability to apply rules systematically across various algebraic expressions. Created by Patricia Combs, a Mathematics teacher in US who teaches grade 8. This quiz serves as an essential assessment tool for reinforcing exponent rules through targeted practice and immediate feedback. Teachers can deploy this resource as a warm-up activity to activate prior knowledge before introducing more complex polynomial operations, or as formative assessment to identify students who need additional support with foundational exponent concepts. The varied question formats make it ideal for homework assignments that allow students to practice at their own pace, while the systematic coverage of all major exponent laws supports comprehensive review sessions before unit tests. This assessment aligns with Common Core State Standards 8.EE.A.1, which requires students to know and apply the properties of integer exponents to generate equivalent numerical expressions.
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Student View
20 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Evaluate this expression using the quotient rule.
Tags
CCSS.HSA.APR.A.1
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Division Law states: keep the base the same and do this to the exponents.
Tags
CCSS.8.EE.A.1
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
According to exponent rules, when we multiply the same base we _______ the exponents.
Tags
CCSS.8.EE.A.1
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Tags
CCSS.8.EE.A.1
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Simplify to an equivalent expression BUT leave in exponent form.
43⋅45
Tags
CCSS.8.EE.A.1
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Tags
CCSS.8.EE.A.1
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Tags
CCSS.8.EE.A.1
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