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Exponents Worksheets
Every exponents worksheet builds one law at a time: reading index notation, multiplying and dividing powers of the same base, power of a power, the zero index, then negative indices and scientific notation. Pick the laws your Year 7 to Year 10 class is on, and the sheet stops there.
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What's Included in an Exponents Worksheet?
🔥Differentiated Questions
Mild questions hold one law steady: the bases already match, so a student only has to add the indices. Medium puts two laws in the same line and adds a coefficient, so (3a²)⁴ has to become 81a⁸ rather than 3a⁸. Spicy carries negative indices and scientific notation together.
🌍 Engaging Puzzles
Puzzle questions put the index laws somewhere real: a folded sheet of paper doubling, a bacterial count, the mass of a molecule written in scientific notation. Students read the context, then choose the law.
💡Problem Solving Questions
Problem-solving questions need more than one law in sequence. Simplify a quotient, cancel the like bases, then deal with what is left in the denominator as a negative index. Students show each step, so you can see where the reasoning broke rather than a wrong answer.
Space for Working
Practice Questions
Every practice question has room to work under it, because index work is a chain: expanded form, then the law, then the simplified power. The sheet prints ready to hand out, with an answer key.
Grouping of Students
Engaging Worksheet
The sheet tells you who to group with whom. A student still reading 3⁴ as three fours needs notation, not more laws. A student who writes 2³ × 2² as 4⁵ needs a page on holding the base. Puzzles keep both groups reading.
Easy Editing
Enabling & Extending
Ask for changes with AI once the sheet exists. Swap every base to 10 for the group heading into scientific notation, take the negative indices out for the group still on the zero index, or add extension questions with variables in the base.
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What is covered in an exponents worksheet?
From Reading a Power to the First Two Index Laws
The sheet opens where the topic opens: 3⁴ means four threes multiplied, not three times four. In the Australian Curriculum, Year 7 writes numbers as products of powers of primes, so that reading has to be secure first. Then the first two index laws fall out of expanded form. Multiply powers of the same base and the indices add. Divide them and the indices subtract. Questions hold one base at a time: 2³ × 2² is 2⁵, never 4⁵.
Where the Zero Index and Negative Indices Go Wrong
Two results break intuition. Anything non-zero raised to the zero index is 1, which students resist until they see 2³ ÷ 2³ written both ways. A negative index is a reciprocal, not a negative number: 5⁻³ is one over 125. Year 9 extends the laws to integer indices and to variables, and that is where a coefficient gets lost, because (3x)² is 9x², not 3x². One line in every set checks that no law has been applied across a plus sign.
Scientific Notation and the Step Into Exponential Growth
Scientific notation is the payoff: Year 9 handles very large and very small measurements written that way, from the age of the Earth to the mass of a molecule. Year 10 turns the same notation into exponential relations and models of growth and decay. Set the sheet to whichever of those you are teaching, then browse the rest of the maths worksheets when the next topic comes around.
Teachers save hours with this exponents worksheet