a⁰ = 1: Problem Solving & Reasoning

Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet exploring the concept that any non-zero number raised to the zero power equals 1, through problem solving and reasoning exercises.

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Full preview • 11 questions

a⁰ = 1: Problem Solving & Reasoning

Subject: MathematicsGrade: Grade 7
Name:
Date:
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Untitled Worksheet

Grade Grade 7
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the value of 5⁰.
[1 mark]
2.
Simplify: (3⁴) / (3⁴).
[2 marks]
3.
If a⁰ = 1 for any non-zero a, what is the value of 10⁰?
[1 mark]
4.
Express as a calculation: 2⁵ ÷ 2⁵.
[2 marks]
5.
What is the value of x in the equation x⁰ = 1?
[1 mark]
6.
Construct a triangle on the grid with sides of lengths corresponding to numbers where any side raised to the zero power equals 1. Show the lengths.
[3 marks]
7.
Calculate: (8⁰) + (2⁰).
[2 marks]
8.
Explain why any non-zero number raised to the zero power equals 1, using reasoning based on the laws of exponents.
[4 marks]
9.
Calculate: (7³) / (7³).
[2 marks]
10.
If a⁰ = 1, what is the value of (-4)⁰?
[1 mark]
11.
Identify and correct the mistake: 6⁰ = 0.
[2 marks]

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Details

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