Simplifying Exponents with Rational Exponent

• Rational exponents


  Exponents that are fractions
• Simplifying expressions with rational exponents

  1. Copy the base

  2. Add/Subtract the exponents
• Properties of rational exponents

  • Product of powers: Copy base, add exponents
  • Power of a power: Multiply exponents
  • Quotient of powers: Copy base, subtract exponents
  • Power of a quotient: Multiply exponents in parentheses
  • Negative exponents: Take the reciprocal
• Simplifying expressions with rational exponents involves applying the properties of rational exponents
• All variables represent positive real numbers