a⁻ⁿ = 1/aⁿ: Problem Solving & Reasoning
Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads
About This Worksheet
This worksheet explores the concept that a⁻ⁿ equals 1 divided by aⁿ, helping students understand and apply negative indices through various problem-solving questions.
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a⁻ⁿ = 1/aⁿ: Problem Solving & Reasoning
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: a⁻³ when a = 2.
[2 marks]2.
Calculate the value of 3⁻².
[2 marks]3.
Express 5⁻⁴ as a fraction.
[2 marks]4.
If a = 4, find the value of a⁻².
[2 marks]5.
Calculate the value of 10⁻³.
[2 marks]6.
Construct a triangle on the grid with side lengths corresponding to 1/2, 1/4, and 1/8. Label the sides.
[3 marks]7.
Plot the graph of y = 2x on the grid.
[3 marks]8.
A scientist measures the concentration of a substance as C = 5 × 10⁻³. Write this as a fraction.
[3 marks]9.
If a = 3, evaluate (a⁻¹)².
[2 marks]10.
Explain why a⁻ⁿ equals 1/aⁿ using your own words.
[3 marks]11.
Identify and correct the mistake: Simplify a⁻⁵ as 1/a⁵, but mistakenly write it as a⁵.
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet