Rules of Exponents Explained

Common Mistakes
  • Adding exponents when multiplying different bases
  • Multiplying exponents instead of adding them when multiplying like bases
  • Forgetting to distribute an exponent to every factor inside parentheses
  • Leaving negative exponents in the final answer
  • Applying exponent rules to addition and subtraction
  • Forgetting that exponent rules only work when the bases are the same

Video Length: 8:47

Exponent rules don’t have to be a collection of formulas to memorize. Once you understand the patterns behind exponents, the rules begin to make sense and become much easier to use.

In this video, you’ll learn the most important exponent rules used throughout Algebra, Geometry, College Algebra, and ACT Math. We’ll work through examples and discuss when to multiply exponents, when to subtract exponents, and how powers behave when raised to another power.

In this lesson you’ll learn:

• The Product Rule of Exponents
• The Quotient Rule of Exponents
• The Power Rule of Exponents
• The Power of a Product Rule
• The Zero Exponent Rule
• The Negative Exponent Rule
• How to simplify expressions using multiple exponent rules
• Common mistakes students make with exponents

By the end of this lesson, you’ll be able to simplify exponent expressions with confidence and understand why the rules work—not just memorize them.

Whether you’re taking Algebra 1, Algebra 2, Geometry, College Algebra, or preparing for the ACT, exponent rules are foundational skills that appear throughout mathematics.

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