a^(m/n): Fluency & Practice
Mathematics
Grade 8
12 questions
~24 mins
1 views0 downloads
About This Worksheet
This worksheet develops procedural mastery of a^(m/n), focusing on calculations, problem solving, and real-world applications related to fractional indices.
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a^(m/n): Fluency & Practice
Subject: MathematicsGrade: Grade 8
Name:
Date:
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Untitled Worksheet
Grade Grade 8
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the value of 8^(2/3).
[2 marks]2.
Simplify the expression: 16^(3/4).
[2 marks]3.
Evaluate: (27)^(2/3).
[2 marks]4.
Express 81^(1/4) as a simplified radical or decimal.
[2 marks]5.
Calculate 32^(3/5).
[2 marks]6.
Solve for x: 2^(x/2) = 8.
[3 marks]7.
Express 125^(2/3) as a simplified number.
[2 marks]8.
Plot the graph of y = 2^(x/3) for x from -6 to 6.
[3 marks]9.
Construct a triangle on the grid with sides of length 8 and 27, where the hypotenuse length relates to a^(m/n).
[3 marks]10.
Find the value of 16^(1/2) + 9^(1/2).
[2 marks]11.
Evaluate whether the following statement is true or false: (64)^(3/6) = 8.
[1 mark]Atrue
Bfalse
12.
Identify and correct the mistake: Simplify 81^(3/4) as 3^(9/4).
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet