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P2 Exponents & Radicals
What does an exponent tell you?? Repeated Multiplication How many times you multiply the base by itself.
Expand the following: General Rule on Negatives:
Properties of Exponents
Try Some Harder Ones
Radicals and their Properties Square RootCube Root One of its two equal factors One of its three equal factors If a and b are real numbers,, then
Properties of Radicals
Let’s Look at Property #6 Ok… think about this What are the solutions to this?
Let’s Try a few
Simplifying Radicals No denominators with Radicals & All numbers and exponents in simplest form List: All perfect squares from 1- 15 All perfect cubes from 1- 6 All perfect fourths from 1- 4 All perfect fifths from 1- 4
Adding and Subtracting Radicals must be “like radicals” (same index and radicand) Examples
Rationalizing Denominators & Numerators Ex. 1 Ex. 2
Ex. 3 (with 2 terms in the denominator) Ex. 4 (with 2 terms in the numerator)
Now You Try Some
Rational Exponents Examples
Simplify Radical Expressions
Simplify, Add, Subtract, Multiply and Divide
Section P3 Radicals and Rational Exponents
Roots & Radical Exponents By:Hanadi Alzubadi.
Dividing Radicals Note- Notes for rationalizing denominators are included in this powerpoint, yet students are not required to rationalize radical denominators.
Objective: 7.2 Properties of Rational Exponents1 Homework Answers / / / /
Properties of Rational Exponents Section 7.2. WHAT YOU WILL LEARN: 1. Simplify expressions with rational exponents. 2. Use properties of rational exponents.
7.1 – Radicals Radical Expressions
Review: Laws of Exponents Questions Q: 4 0 =? A: 1 Q: 4 1 =? A: 4 Q: 4 1/2 =? A: Let’s square the number (4 1/2 ) 2 =? (4 1/2 ) 2 = 4 1 = 4 Recall: b.
Tidewater Community College
Radical Functions & Rational Exponents
Warm up 1. Change into Scientific Notation 3,670,900,000 Use 3 significant figures 2. Compute: (6 x 10 2 ) x (4 x ) 3. Compute: (2 x 10 7 ) / (8.
Algebra Roots and Radicals. Radicals (also called roots) are directly related to exponents. Roots and Radicals.
R a d i c a l U n i t Square Roots of Prefect Squares Medina1.
Working with Negative Exponents When working with negative exponents, move the variable and change the exponent to positive.
Exponents and Radicals Digital Lesson. Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 2 Repeated multiplication can be written in.
Identify the perfect square in each set , 81, 27, , 99, 8, , 84, 12, , 216, 196, 72 Find the Prime Factorization of.
Appendix:A.2 Exponents and radicals. Integer Exponents exponent base.
Radicals NCP 503: Work with numerical factors
Objective: Add, subtract and multiplying radical expressions; re-write rational exponents in radical form. Essential Question: What rules apply for adding,
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