MathematicsFreePrintable
Exponential Expressions
A free mathematics worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.
Name:Date:
Exponential Expressions
Solve each expression to unlock the next clue. Assume variables are nonzero when dividing. Show your work for multi-step problems.
Unlock the Rules
Use exponent rules to simplify each expression.
1.Simplify 4³ × 4². Write your answer as a power.
2.A lock accepts the value of (3²)³. Which value opens it?
- 3⁵ = 243
- 3⁶ = 729
- 6³ = 216
- 9⁶ = 531,441
3.Simplify 7⁸ ÷ 7³. Write your answer as a power.
4.True or false: (mn)⁴ = m⁴n⁴. Correct the statement if it is false.
TrueFalse
5.The keypad asks for the value of 9⁰. Enter the correct number.
Crack the Multi-Step Codes
Simplify carefully. Remember to follow multiplication and division from left to right when they appear together.
6.Simplify (2x³)⁴. Give the coefficient and variable part.
7.A code is represented by x⁸ ÷ x² × x³. Simplify it, working from left to right.
8.Simplify (a²b³)² ÷ (ab)². Show how the exponents of both variables change.
9.An entry code follows (3²)³ × 3¹. Simplify the expression as one power of 3.
Final Challenge
Use what you know about powers to solve the last clues.
10.The final lock shows 2ˣ = 64. What is the value of x? Explain how you know.
11.Write 81 as a power of 3 and as a power of 9.
2 printable pages
Page 1
Page 2
About This Worksheet
Free in Kuraplan
Sign up free, grab the PDF, and customize it for your class.
Print-Ready
Formatted for standard paper. Clean layout, easy to read.
AI-Generated
Created with Kuraplan's AI, designed for real classroom use.
For Teachers & Parents
Use in classrooms, for homework, tutoring, or homeschool.
Need a custom version of this worksheet?
Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.
Generate Custom Worksheets — Free No credit card Curriculum-aligned Under 60 seconds
More Mathematics Worksheets
10th Grade
Linear Equation Solutions
Free
Functions and Relations Classification
Free
9th Grade
Radicals and Exponents Practice
Free
Y-Intercept Answer Key
Free
Understanding Variables Worksheet
Free
6th Grade
Properties in Expressions
Free
6th Grade
Variables in Real Life
Free
7th Grade