Year 9 - Exponent laws - Free practice
Year 9 Exponent Laws Worksheets & Practice Tests
Index laws extended to variables and longer expressions.
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Six questions across Foundation, Standard and Extension, with full worked solutions, calibrated to the Victorian Curriculum.
Textbook questions won't lift a test mark.
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About this worksheet
Why we built it
Year 9 extends the exponent laws from Year 8 numbers to algebraic variables and longer expressions. These worksheets give your student practice mixing the laws in single questions - the format that catches them out on tests.
What's covered
Sub-skills your student will practise
- ✓Product, quotient and power-of-a-power laws applied to variables
- ✓Zero exponent in algebraic expressions
- ✓Negative exponents (preview)
- ✓Simplifying multi-step exponent problems
- ✓Mixed-rule questions with multiple bases
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From our families
Parents on the practice questions.
“Tuterly has been exactly what we needed since Tom started secondary school. Once the topic tests began, he was struggling to keep up. Now he has unlimited practice, all matched to what his class is actually covering, and his Maths results have improved noticeably.”
Rebecca M.
Year 8 · Maths
“My daughter used to leave revision until the night before. Having a platform she can dip into for fifteen minutes after dinner has completely changed that. She's calmer going into assessments, and honestly, so am I.”
Priya S.
Year 9 · Maths
“I like that I can just keep doing questions until it clicks. If I get something wrong, it shows me why, and then gives me another one like it.”
Ella, student
Year 10 · Maths
Frequently asked
Questions parents ask about exponent laws
How are Year 9 exponent laws different from Year 8?
Year 9 extends the laws to algebraic variables and longer expressions. The same rules apply but students mix them in single questions: (2x^3)^2 x x^4 / x^5 needs three different laws.
What do students do when bases differ?
Index laws only work when bases match. 2^3 x 3^2 can't be simplified into a single power - it stays as 8 x 9 = 72. Students sometimes try to combine unlike bases and get it wrong.
What about negative exponents?
Year 9 introduces them as a preview: a^-n = 1/a^n. So 2^-3 = 1/8. They become more central in Year 10 once scientific notation arrives.
Is the zero exponent a Year 9 topic?
Yes - a^0 = 1 for any non-zero a. Introduced in Year 8, extended to variables in Year 9. Most students remember the rule but not why it's true (it follows from the division law).
Want a real plan for the term?
Worksheets are great for repetition. A Tuterly tutor can spot the specific moves your student keeps getting wrong and fix them in one or two sessions.
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