Rational Exponents PDF

# Rational Exponents ## What are Rational Exponents? - Exponents that are fractions - The properties of rational exponents are the same for properties for integer exponents. ## Rewrite with positive exponents and simplify - 36^1/2 - (7xy)^4/7 ## An expression with rational exp...

# Rational Exponents ## What are Rational Exponents? - Exponents that are fractions - The properties of rational exponents are the same for properties for integer exponents. ## Rewrite with positive exponents and simplify - 36^1/2 - (7xy)^4/7 ## An expression with rational exponents is simplified when - No parentheses appear. - No powers are raised to powers. - Each base occurs only once. - No negative or zero exponents appear. ## Simplify the following - a) 6^1/7 . 6^4/7 - b) (x^2/5 y^1/3)^1/2 - c) 32x^1/2 / 16x^3/4 ## Properties of Exponents also apply to Rational Exponents! Write the expression in simplest form: (16y^-8)^-3/4 ## Practice Problems 1. (2a^1/4)³ 2. (9x⁴y^-2)^1/2 3. (3x¹) (4x³)² 4. (y^2/3)^-9 5. (x^7/2 / x³)⁴