aᵐ ÷ aⁿ = aᵐ⁻ⁿ: Mixed Review
Mathematics
Year 9
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet focused on mastering the law of indices aᵐ ÷ aⁿ = aᵐ⁻ⁿ through a variety of questions including procedural practice, reasoning, contextual problems, and extension challenges.
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Full preview • 13 questions
aᵐ ÷ aⁿ = aᵐ⁻ⁿ: Mixed Review
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Simplify the expression: a⁵ ÷ a²
[2 marks]2.
Calculate the value of 3³ ÷ 3¹
[2 marks]3.
Simplify: (2²) ÷ (2⁰)
[2 marks]4.
Express as a single power: a⁷ ÷ a⁴
[2 marks]5.
Simplify: 5⁸ ÷ 5³
[2 marks]6.
If a⁶ ÷ a² = aᵐ, what is the value of m?
[2 marks]7.
Construct an expression that simplifies to a¹⁰ using the law of indices.
[3 marks]8.
Simplify the expression: (4³) ÷ (4¹)
[2 marks]9.
Solve for m: aᵐ ÷ a³ = a⁵
[3 marks]10.
A calculator shows 2⁵ ÷ 2² = 8. Is this correct? Explain your reasoning.
[3 marks]11.
Identify and correct the mistake in simplifying a⁶ ÷ a³ = a⁹.
[3 marks]12.
Simplify: a² ÷ a⁴
[2 marks]13.
Determine the value of m if aᵐ ÷ a² = a⁰.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet