Simplifying Exponents Worksheet with Solve and Match
Students simplify 21 expressions using the laws of indices (exponents), with product, quotient, power and negative-index rules, then find each answer in a lettered bank and write its letter under the problem number.

- Year levels
- Years 9–12
- File type
- Preparation
- Print ready
- Subject
- Algebra, Maths
- Topic
- Trinomials, Algebra
- Resource types
- Worksheets
- Preparation
- Print ready
- Australian Curriculum content descriptions
- AC9M9A01 — apply the exponent laws to numerical expressions with integer exponents and extend to… AC9M10A01 — expand, factorise and simplify expressions and solve equations algebraically, applying…
From the author
About this resource
This is a Laws of Exponents - Solve + Match Worksheet.
There are 21 problems to solve.
Students will simplify the expression in each problem. They will find the letter that matches with their answer.
Students will write the matching letter in the box beneath the problem number. Each letter will only be used once.
Answer keys included.
In the classroom
Teaching tips & learning objectives
Learning objectives
Simplify exponential expressions using the laws of exponents
Rewrite expressions with negative exponents in simplified form
Skills covered
Exponent rules — simplifying mixed product, quotient, power and negative-exponent problems
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Australian Curriculum (Version 9.0)
Australian Curriculum content descriptions
Australian Curriculum content descriptions
- AC9M9A01 — apply the exponent laws to numerical expressions with integer exponents and extend to variables
- AC9M10A01 — expand, factorise and simplify expressions and solve equations algebraically, applying exponent laws involving products, quotients and powers of variables, and the distributive property
Core concepts
Laws of exponents
Negative exponents
Power rule
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