Chapter 1
Linear Equations and Graphing
Course: Gre
Subject: Gre Quantitative Reasoning
Chapter: Foundations Of Functions And Composition
Introduction: Applying Exponent Rules to Fractions
Working with rational exponents requires applying the same exponent rules that apply to integer exponents, but with fractions. This lesson focuses on simplifying algebraic expressions that contain rational exponents, using the product, quotient, power, and negative exponent rules.
Review of Exponent Rules
| Rule | Formula | | Product of Powers | x^a × x^b = x^(a + b) | | Quotient of Powers | x^a / x^b = x^(a - b) | | Power to a Power | (x^a)^b = x^(a × b) | | Power of a Product | (xy)^a = x^a × y^a | | Power of a Quotient | (x/y)^a = x^a / y^a | | Negative Exponent | x^(-a) = 1 / x^a | | Zero Exponent | x^0 = 1 (x ≠ 0) |