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WorksheetYear 9Level 3 · Challenge

Free Year 9 Index Laws Worksheet — Level 3

Multiply and divide powers, raise a power to a power, and use zero and negative indices. A challenge set for students ready to stretch further. This Year 9 worksheet has 14 questions and comes with a full answer sheet showing the working for every question.

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Year
Year 9
Subject
Mathematics
Topic
Indices & Scientific Notation
Difficulty
Level 3 · Challenge
Estimated time
15 minutes
Curriculum
Australian Curriculum
Questions
14
Answers
Included, with working
Format
PDF (A4) + print

Students will practise

  • multiplying and dividing powers with the same base
  • raising a power to a power
  • using zero and negative indices

Curriculum: Australian Curriculum. We show specific outcome codes only where they have been verified against the official curriculum document.

What's next?

Completed: Year 9 Index Laws Worksheet — Level 3

  1. 1Year 9 Scientific Notation Worksheet — Level 1
  2. 2Year 9 Scientific Notation Worksheet — Level 2

How to use this worksheet

  1. Print the PDF or complete it on screen. Write the student's name and date at the top.
  2. Read the instructions for each part together before starting. Encourage working to be shown, not just answers.
  3. Mark with the answer sheet. Compare the method, not only the final answer, and give credit for correct working.
  4. Record the score, celebrate what went well, then follow the "What's next" suggestion.

Common questions

Who is this worksheet for?

Year 9 students (typically ages 14–15) working on indices & scientific notation. It is pitched at level 3 · challenge; an easier version is linked above.

Are the answers included?

Yes. The PDF includes a full answer sheet with the working for every question. You can also view the answers online.

How long does it take?

About 15 minutes for 14 questions. Short, regular sessions work best: two or three a week beats one long one.

Do I need to sign up to download?

No. Click Download Free PDF and it opens immediately. It is free for personal, classroom and homeschool use.

What should we do next?

Try Year 9 Scientific Notation Worksheet — Level 1.

Preview

Year 9 · Mathematics · Indices & Scientific Notation

Year 9 Index Laws Worksheet — Level 3

Success Tutoring

Student name:

Date:

Score: /

Use the index laws. Write answers with positive indices.

1.Evaluate: 90
2.Write 5−1 as a fraction.
3.Simplify: 2x7 × 5x5
4.Write 10−3 as a fraction.
5.Simplify: (x6)4
6.Evaluate: 30
7.Evaluate: 20
8.Simplify: 3x7 × 3x3
9.Simplify: 3x6 × 2x9
10.Simplify: 2x8 × 4x2
11.Simplify: 2x7 × 2x6
12.Simplify: (x8)8
13.Write 5−3 as a fraction.
14.Evaluate: 60
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Preview — the PDF contains the full resource and answer sheet.

  • Worksheet

    Year 9 Scientific Notation Worksheet — Level 1

    Convert between ordinary numbers and scientific notation. Builds confidence with the core skill before adding complexity. This Year 9…

    Difficulty
    Level 1 · Easier
    Time
    10 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    Year 9 Scientific Notation Worksheet — Level 2

    Convert between ordinary numbers and scientific notation. Expected-level practice for this year group. This Year 9 worksheet has 12…

    Difficulty
    Level 2 · Standard
    Time
    10 min
    Questions
    12 questions
    Answers
    Answers included

Indices & Scientific Notation in other year levels

About this resource

Created by
Success Tutoring Maths Team
Reviewed by
Success Tutoring
Last reviewed
1 October 2026
How it was made
Generated by checked procedures

Free to print and share for personal, classroom and homeschool use. Please don't resell. Spotted an error? Let us know.