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Published byGodfrey Farmer
Modified over 5 years ago
6-3: Rational Exponents Unit 6: Rational /Radical Equations
Recall: Exponent Rules Rational exponents behave exactly like the whole number exponents
Let’s look at some review problems
Definition of a rational exponent
Roots of nth roots CaseRootsExample Odd index1 real root Even index (positive radicand) 2 real roots Even index (negative radicand) No real roots radicand of 01 root of 0
Find all real roots 1.2.3. 4. 5. 6.
Simplifying nth roots Recall: and The same applies here: Ex.
Definition of a rational exponent A rational exponent is defined as: Where m and n are integers and n ≠ 0. Ex.
Write each expression in radical form and simplify. Write each expression using rational exponents. Solve.
Roots of Real Numbers and Radical Expressions. Definition of n th Root ** For a square root the value of n is 2. For any real numbers a and b and any.
1 How Do We Use Rational Exponents? Do Now: Perform the indicated operation and simplify 1. 2.
7. Roots and Radical Expressions
Ch 8 - Rational & Radical Functions Simplifying 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.
5.7 Rational Exponents Fraction Exponents.
Algebra 2 Bellwork – 3/4/15.
10.2 Rational Exponents.
7.1/7.2 Nth Roots and Rational Exponents
6.1 n th Roots and Rational Exponents What you should learn: Goal1 Goal2 Evaluate nth roots of real numbers using both radical notation and rational exponent.
Radical Functions & Rational Exponents
7.1 nth Roots and Rational Exponents 3/1/2013. n th Root Ex. 3 2 = 9, then 3 is the square root of 9. If b 2 = a, then b is the square root of a. If b.
OBJECTIVES: STUDENTS WILL BE ABLE TO… EVALUATE NTH ROOTS OF REAL NUMBERS USING RADICAL NOTATION AND RATIONAL EXPONENT NOTATION. 7.1: N TH ROOTS AND RATIONAL.
1 7.1 and 7.2 Roots and Radical Expressions and Multiplying and Dividing Radical Expressions.
§ 7.2 Radical Expressions and Functions. Tobey & Slater, Intermediate Algebra, 5e - Slide #2 Square Roots The square root of a number is a value that.
Section 1.2 Exponents & Radicals Objectives: To review exponent rules To review radicals To review rational exponents.
Section 7.2 So far, we have only worked with integer exponents. In this section, we extend exponents to rational numbers as a shorthand notation when using.
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.
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