aᵐ × aⁿ = aᵐ⁺ⁿ: Fluency & Practice

Mathematics
Grade 6
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on mastering the rule aᵐ × aⁿ = aᵐ⁺ⁿ through fluency exercises, reasoning, and real-world applications.

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Full preview • 11 questions

aᵐ × aⁿ = aᵐ⁺ⁿ: Fluency & Practice

Subject: MathematicsGrade: Grade 6
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Untitled Worksheet

Grade Grade 6
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the value of a⁴ × a².
[2 marks]
2.
Simplify: 3³ × 3⁴.
[2 marks]
3.
If a⁵ × a³ = a⁸, what is the value of a?
[3 marks]
4.
Calculate the value of 2² × 2³ × 2¹.
[3 marks]
5.
What is the simplified form of a⁶ × a⁻²?
[2 marks]
6.
Plot the graph of y = 2x for x ranging from 0 to 5.
[3 marks]
7.
Construct a triangle with side lengths a, a², and a³, where a = 2. Show the lengths on the grid.
[4 marks]
8.
If 5³ × 5² = 5ᵏ, find the value of k.
[2 marks]
9.
Simplify: (a⁴b²) × (a³b⁵).
[3 marks]
10.
Identify and correct the mistake in: a² × a³ = a⁵, if the answer was given as a⁸.
[4 marks]
11.
Express 81 as a power of 3.
[2 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet