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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, Add, Subtract, Multiply and Divide
Section P3 Radicals and Rational Exponents
Roots & Radical Exponents By:Hanadi Alzubadi.
7.1 – Radicals Radical Expressions
The Laws of Exponents.
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.
Rational Exponents and Radicals
Tidewater Community College
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.
Working with Negative Exponents When working with negative exponents, move the variable and change the exponent to positive.
Algebra II Rational Exponents Lesson 6.4
Exponents and Radicals Digital Lesson. Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 2 Repeated multiplication can be written in.
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,
Form of notation for writing repeated multiplication using exponents.
Properties of Rational Exponents and Radicals
Simplifying When simplifying a radical expression, find the factors that are to the nth powers of the radicand and then use the Product Property of Radicals.
6.1 – Rational Exponents Radical Expressions Finding a root of a number is the inverse operation of raising a number to a power. This symbol is the radical.
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