aᵐ ÷ aⁿ = aᵐ⁻ⁿ: Fluency & Practice
Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on the key law of indices: aᵐ ÷ aⁿ = aᵐ⁻ⁿ, designed to develop procedural fluency and problem-solving skills.
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aᵐ ÷ aⁿ = aᵐ⁻ⁿ: Fluency & Practice
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Simplify the expression: a⁵ ÷ a³
[2 marks]2.
Calculate the value of 3³ ÷ 3¹.
[2 marks]3.
Express as a single power: 2⁴ ÷ 2².
[2 marks]4.
Simplify: (a⁷ ÷ a³) ÷ a².
[3 marks]5.
If a = 2, what is the value of 2⁶ ÷ 2⁴?
[2 marks]6.
Simplify: 5⁸ ÷ 5⁵.
[2 marks]7.
Express 10¹ ÷ 10⁴ as a single power.
[2 marks]8.
Calculate 7² ÷ 7⁰.
[2 marks]9.
Construct an expression using powers of 3 that simplifies to 3⁴.
[3 marks]10.
Simplify: (a³ ÷ a¹) ÷ a² and explain your steps.
[4 marks]11.
What is the mistake in simplifying a⁵ ÷ a⁶ as a⁻¹? Correct it and justify your answer.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet