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P.2 Exponents and Radicals Properties of Exponents a m a n = a m+n a 0 = 1 (ab) m = a m b m (a m ) n = a mn
Ex. 1a.(-3ab 4 )(4ab -3 ) b.(2xy 2 ) 3 c.3a(-4a 2 ) 0 = -12a 2 b = 8x 3 y 6 = 3a Ex. 2
Scientific Notation Ex. 3 Write each number in scientific notation. a.0.0000782 b.836,100,000 = 7.82 x 10 -5 = 8.361 x 10 8 Ex. 4 Write each number in decimal notation. a.9.36 x 10 -6 b.1.345 x 10 2 = 0.00000936 = 134.5
Ex. 5 Evaluating expressions involving radicals
Properties of Radicals
Ex. 6 & 7
Ex. 8Combining Radicals
Ex. 9 & 10Rationalizing Single-Term and Two Term Denominators Mult. top and bottom by the conjugate. 2
Ex. 12Rationalizing the Numerator This time we are going to rationalize the numerator. -2
Ex.13Changing a Radical to Exponential Form
Ex.14Changing from Exponential to Radical Form
Ex.15Simplifying with Rational Exponents 3
Ex.15Simplifying Algebraic Expressions
Properties of Exponents Examples and Practice. Product of Powers Property How many factors of x are in the product x 3 ∙x 2 ? Write the product as a single.
Chapter 8 Test Review Exponents and Exponential Functions Simplify the expression. Use only positive exponents. x 3 x 4.
Rational Exponents When a base is raised to a rational exponent of the form 1/n we use the following definition: The denominator of the rational exponent.
Copyright © Cengage Learning. All rights reserved. P Prerequisites.
Appendix:A.2 Exponents and radicals. Integer Exponents exponent base.
Table of Contents Rational Exponents When a base is raised to a rational exponent of the form 1/n we use the following definition: The denominator of the.
Exponents and Radicals Section 1.2. Objectives Define integer exponents and exponential notation. Define zero and negative exponents. Identify laws of.
Objectives Define integer exponents and exponential notation. Define zero and negative exponents. Identify laws of exponents. Write numbers using scientific.
Exponents and Scientific Notation. Definition of a Natural Number Exponent If b is a real number and n is a natural number,
Section 6-2 Day 1 Apply Properties of Rational Exponents.
Adding and Subtracting Radical Expressions When two radical expressions have the same indices and radicands, they are said to be like radicals. Like radicals.
Bellwork. Survey results: Students who voted for online homework: 84% Students who voted for paper homework: 16% Students who wants to keep group.
Rational Exponents. Rational Exponent “Rational” relates to fractions Rational exponents mean having a fraction as an exponent. Each part of the fraction.
7.2 Properties of Rational Exponents OBJ: use properties of rational exponents & radicals and write expressions in simplest form Do Now: Simplify a)(-5)
The Distributive Property The process of distributing the number on the outside of the parentheses to each term on the inside. a(b + c) = ab + ac a(b -
Simplifying Radicals Algebra I Unit 1 D2. Perfect Squares
7.5 Operations with Radical Expressions. Review of Properties of Radicals Product Property If all parts of the radicand are positive- separate each part.
Section 10.5 Expressions Containing Several Radical Terms.
6.3 Binomial Radical Expressions P You can only use this property if the indexes AND the radicands are the same. This is just combining like terms.
Chapter 6 Radical Functions and Rational Exponents.
Rational Exponents Evaluate rational exponents. 2.Write radicals as expressions raised to rational exponents. 3.Simplify expressions with rational.
A or of radicals can be simplified using the following rules. 1. Simplify each in the sum. 2. Then, combine radical terms containing the same and. sumdifference.
1 1.2 Objectives ► Integer Exponents ► Rules for Working with Exponents ► Scientific Notation ► Radicals ► Rational Exponents ► Rationalizing the Denominator.
Exponent Rules. Simplify each algebraic expression. Do NOT leave negative exponents.
10.3: rational exponents April 27, Objectives 1.Define rational exponents 2.Simplify expressions that contain rational exponents 3.Estimate the.
Note that the denominator of the exponent becomes the index and the base becomes the radicand. Example Write an equivalent expression using radical.
5.1 Use Properties of Exponents. Properties of Exponents Property NameDefinitionExample Product of Powersa m + a n = a m+n = (-1) = 5.
SECTION 6-1: PROPERTIES OF EXPONENTS Goal: Use properties of exponents to evaluate and simplify expressions involving powers.
Exponents / Powers Used to simplify and evaluate expressions. ex.: x (2x) 3.
6.2A- Operations for Fractions Adding & Subtracting – Create a COMMON DENOMINATOR – ADD or SUBTRACT 2 TOPS (Numerators) – KEEP the common denominator (bottom)
Lesson 3.2: Simplifying Expressions with Rational Exponents and Radicals (Pgs ) Mr. Alvarado IM2.
8.5/8.6 SCIENTIFIC NOTATION AND MULTIPLICATION PROPERTY OF EXPONENTS ALGEBRA 1 CP.
Math 025 Section 10.3 Radicals. Properties of multiplication and division of radicals aa bb = ab aa aa =a= a2a2 aa bb = abab.
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.
Ch 8: Exponents D) Rational Exponents Objective: To simplify expressions involving rational exponents.
More with Exponents and Scientific Notation MATH 017 Intermediate Algebra S. Rook.
5.2 Properties of Rational Exponents (p. 175). Learning Objectives I will be able to… ► Write Expressions in Radical Form ► Write Expressions in Rational.
Section 6.2. Example 1: Simplify each Rational Exponent Step 1: Rewrite each radical in exponential form Step 2: Simplify using exponential properties.
6.5 Complex Fractions. Complex Fractions. The quotient of two mixed numbers in arithmetic, such as can be written as a fraction. In algebra, some rational.
ALGEBRAIC EXPRESSIONS Step 1 Write down the question Step 2 Plug in the numbers Step 3 Use PEMDAS Work down, Show all steps.
Section 6.2 Apply Properties of Rational Exponents.
1 Algebra 2: Section 7.2 Properties of Rational Exponents (Day 1)
Simplify. Section P.3 How do we simplify expressions involving radicals and/or rational exponents?
6.2 Properties of Rational Exponents What you should learn: Goal1 Goal2 Use properties of rational exponents to evaluate and simplify expressions. Use.
Lesson 8.4 Multiplication Properties of Exponents Property: Raising a Power to a Power For every nonzero number a and integers m and n, (a m ) n = a mn.
6.1 Properties of Exponents 2/4/2013. Power, Base and Exponent: 7373 Exponent: is the number that tells you how many times the base is multiplied to itself.
8.7/8.8 DIVISION AND MORE MULTIPLICATION PROPERTIES OF EXPONENTS ALGEBRA 1 CP OBJECTIVE: USE TWO MORE MULTIPLICATION PROPERTIES AND APPLY DIVISION PROPERTY.
Change to scientific notation: A. B. C. 289,800, x x x
Exponents and Radicals Digital Lesson. Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 2 Repeated multiplication can be written in.
Rational Exponents Mr. Solórzano – Algebra 1. Objectives To simplify expressions with radical exponents To write radical expressions using rational exponents.
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