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
PDF
Preparation
Print ready

Updated Sep 18, 2026

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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