Identify the Operation
Look for multiplication, division, or a power raised to another power.
Free Interactive Algebra Tool
Exponent Rules
Simplify exponential expressions one step at a time. Practice products, quotients, powers, zero exponents, negative exponents, and problems that combine several rules.
Learn the Exponent Rules Step by Step
Review each exponent rule, see why it works, and follow complete examples before practicing on your own.
Read the Exponent Rules GuideHow It Works
Simplify Without Losing Track of the Exponents
Identify the operation, choose the matching exponent rule, simplify each part of the expression, and rewrite the final answer using positive exponents.
Choose the Rule
Decide whether the exponents should be added, subtracted, multiplied, or distributed.
Simplify Each Part
Work with coefficients and each variable separately before combining the result.
Use Positive Exponents
Move factors with negative exponents across the fraction bar to finish the expression.
Interactive Practice
Simplify Each Expression
Correct
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Problems
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Streak
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Product of Powers
MediumSimplify the expression, showing each required step.
x³ · x⁵
The bases match, so add the exponents.
0 steps completed
Enter one valid simplification step at a time.
Work One Step at a Time
Apply the Product Rule
Current Problem
x³ · x⁵
Start
x³ · x⁵
Enter your answer to begin simplifying.
Expression Simplified
Rule Check
Keep This Nearby
Exponent Rules Reference
These rules require matching bases.
Key Reminders
Avoid Common Exponent Mistakes
Check the bases, distinguish powers from coefficients, and use the operation to decide what happens to the exponents.
Match the Bases
Add or subtract exponents only when the bases are the same.
x3 · x4 = x7
Do Not Multiply Exponents in a Product
Multiplying like bases means add the exponents. Multiplying exponents is reserved for a power of a power.
x2 · x5 = x7, not x10
Apply Powers to Coefficients
An exponent outside parentheses applies to every factor inside.
(3x2)3 = 27x6
Finish With Positive Exponents
A negative exponent tells you to use the reciprocal; it does not make the value negative.
x−4 = 1/x4
Keep Learning
Review Every Exponent Rule
Study the product, quotient, and power rules along with zero and negative exponents in the companion guide.
Read the Exponent Rules GuideSupport Free Math Resources
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