Unit 1 Day 3 Rational Exponents Objectives: Simplify a rational expression with radicals by rationalizing the denominator (include applying the conjugate). Rewrite and evaluate a radical with rational exponents, and a number with a rational exponent in radical notation. Use properties of rational exponents to evaluate and simplify expressions. Standards: Supplementary Reading:
Warmup Convert the following into exponential or radical form. Query Question: Turn the following Root into a Rational exponent
Important Vocabulary Radical Radicand Index Root Rational Exponent Denominator Numerator Rationalize Conjugate Square Cube
Simplifying Radicals Radical Expressions have rules to follow in order to be simplified. 1.) cannot have perfect number factors. 2.) cannot have fraction under radical. 3.) cannot have radical numbers in denominator. **May need to multiply by conjugate** **Using DOSquares or S&DOCubes**
Examples
Examples
Examples
Simplifying Rational Exponents Rational Exponents follow the same rules as radicals and integer exponents. 1.) cannot have rational exponents in denominator 2.) cannot have fraction as base of rational exponent. 3.) cannot have negative exponents
Operating W/ Rational Exponents
Check For Understanding Simplify Answer Answer
Problem 1 Example1:
Problem 2 Example 2:
Partner Work
Partner Work
Closure Simplify the following expression. Homework: None!
Unit 1 test question How do properties of roots relate to laws of exponents