Mastering Indices & Powers
Mathematics
Grade 6
5 questions
~10 mins
0 views0 downloads
About This Worksheet
A worksheet covering Indices & Powers for Grade 6 students. Learn how to simplify expressions with indices and understand the rules governing powers.
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Mastering Indices & Powers
Subject: MathematicsGrade: Grade 6
Name:
Date:
Untitled Worksheet
Grade Grade 6
A
Introduction
Review the basic rules of indices: for any numbers a and b, and integers m and n, the following apply: a^m * a^n = a^(m+n), (a^m)^n = a^(m*n), and a^0 = 1 (a ≠ 0). Use these rules to simplify the expressions below.
1.
Calculate the value of 2^3.
[1 mark]2.
Simplify: 5^1.
[1 mark]3.
Calculate: 3^0.
[1 mark]4.
Simplify: 4^2.
[1 mark]5.
Express 81 as a power of 3.
[2 marks]B
Application & Reasoning
Use the laws of indices to simplify the following expressions. Show your working in the grid spaces provided.
1.
Simplify: 2^4 * 2^3.
[2 marks]2.
Simplify: (3^2)^4.
[2 marks]3.
Express 1/8 as a power of 2.
[2 marks]4.
If a = 2^3, what is a^2?
[2 marks]5.
Calculate: 10^3 / 10^2.
[2 marks]C
Challenge & Real-World Application
Solve these word problems involving powers and indices. Show your detailed working in the grid spaces.
1.
A bacteria culture doubles every hour. If the culture starts with 1 bacteria, how many bacteria will there be after 5 hours?
[3 marks]2.
A square has a side length of 3 meters. Express the area of the square as a power of 3.
[3 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet