Exponents and radicals

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Presentation transcript:

Exponents and radicals Honors Precalculus August 22, 2016 Mrs. Agnew

Essential Question Essential Vocabulary How do we simplify expressions containing exponents and radicals? Essential Vocabulary Radical expression Exponent Rationalize

Properties of Exponents The following properties of exponents are true for all real numbers… Properties of exponents We can use these properties to simplify expressions containing exponents. Examples…

Simplifying Radical Expressions Terminology: radical, principle root, index of radical, radicand Simplify by dividing index into exponents of variables Examples…

Rationalizing Expressions What does it mean to rationalize the denominator of an expression? Rationalizing the denominator means removing the radical from the denominator. Calculus requires us to also rationalize the numerator. Examples…

Examples: (Old Textbook) Page 23 – 25 #30 – 40 (E), 43, 46, 49, 50, 54 56, 62 – 64, 65(b), 66(a,c) Page 44 #60, 62, 64, 65, 68

Homework Homework Worksheet All work should be done on your own paper