Unit 4 - Objective 2 - Fractional Exponents Quick Review Exponents are operations. You know that removing a negative in the exponent means taking the reciprocal. Removing a whole number (like 4 = 4/1) in the exponent means repeated multiplication. This section adds another operation. The denominator in an exponent indicates a root. Example 1 You should also be able to find the roots above without your calculator. You should also be able to do them on your calculator using your exponent key [yx or ^]. Put parentheses around the exponent so that it all stays in the exponent. When several operations are indicated in the exponent, do the root first. It's easier that way. Remove 3 in the denominator, Insert root, Remove "-" in the exponent, Take reciprocal, and Remove power and multiply 4 times. Summarizing: All the exponent rules still work with fractional exponents. They are just messier. Multiplying: Same base Keep base, add exponents: Dividing: Same base Keep base, subtract exponents: Power to a power: Keep base, multiply exponents: Exponents distributed across a multiplication: Unit Outline // Course Outline // Home Page