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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 b.836,100,000 = 7.82 x = x 10 8 Ex. 4 Write each number in decimal notation. a.9.36 x b x 10 2 = = 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.
Holt Algebra Properties of Exponents 7.2 Properties of Exponents Holt Algebra 2 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz.
Copyright © 2007 Pearson Education, Inc. Slide R-2 Chapter R: Reference: Basic Algebraic Concepts R.1Review of Exponents and Polynomials R.2Review of.
Evaluating Algebraic Expressions 4-4 Multiplying and Dividing Monomials Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson.
6.3 BINOMIAL RADICAL EXPRESSIONS Algebra II w/ trig.
3.2 Properties of Rational Exponents Math 3 Mr. Ellingsen.
Which number is in exponential form: -10,, 10 Identify the Base of that number What is the exponent in that number? - the number being multiplied.
More with Exponents and Scientific Notation MATH 017 Intermediate Algebra S. Rook.
Simplify Radical Expressions What steps would you take in simplifying the following: (3+9 2 )
There is an agreement in mathematics that we dont leave a radical in the denominator of a fraction.
ALGEBRAIC EXPRESSIONS Step 1Write the problem. Step 2Substitute in the values for the unknown (variable). Step 3Use PEMDAS (remember to go left to right).
Simplifying Radicals. Perfect Squares
Chapter 1 Review In Algebra, we use symbols to stand for various numbers. One type of symbol used is a variable. An expression that contains at least one.
Exponents You will have 20 seconds to complete each of the following 16 questions. A chime will sound as each slide changes. Read the instructions at.
4.1 Powers of 10. QUESTION: What does it mean for 10 to be raised to zero or to a negative power? Power Standard form –1 10.
How do we handle fractional exponents? Do Now: 2 8 = 2 ? = 2 6 = 2 ? = 2 2 = 2 1 = 2 ? = = = 2 7 = 2 1/4 1/ = 2 -3 =
Adding/Subtracting/Multiplying Exponents when bases are the same Absent Tues/Wed 11/13,14.
ALGEBRAIC EXPRESSIONS Step 1 Write down the question Step 2 Plug in the numbers Step 3 Use PEMDAS Work down, Show all steps.
In Grade 11 and 12 College/University Math. The 3 Overall Expectations Simply put, the grade 11/12 curriculum asks that the students be able to… 1. Evaluate.
Number Sense and Operations Exit Patterns, Functions, and Algebra Geometry and Spatial Sense.
Chapter 5 Test Review Sections 5-1 through 5-4. Simplify each expression. 1)2) 3)4) 5) 6)
Objective - To simplify expressions using the order of operations. Simplify each expression below. 1) 6 + 5(8 - 2) 2) 3) 4)
Copyright © 2012, 2008, 2004 Pearson Education, Inc. Mrs. Rivas International Studies Charter School. Bell Ringer.
Copyright © 2013, 2009, 2005 Pearson Education, Inc. Section 1.3 Integer Exponents.
Lesson 4-4 Example Example 1 1.Change each decimal to a fraction. Order, 0.5,, and –0.8 from least to greatest. Graph the numbers on a number line.
R Copyright © 2013, 2009, 2005 Pearson Education. Inc. Review of Basic Concepts Sections R.5–R.7.
Chapter 1 Discovery 1 Evaluate each expression, and compare the results obtained in the left column with the corresponding results in the right column.
Order of Operations. Warm Up 1) ) 9 x ) ) 20 ÷
Copyright © 2013, 2009, 2006 Pearson Education, Inc. 1 Section 5.5 Dividing Polynomials Copyright © 2013, 2009, 2006 Pearson Education, Inc. 1.
Square Root The square root of any real number is a number, rational or irrational, that when multiplied by itself will result in a product that is the.
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