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Algebra 2 Bellwork – 3/4/15
6.1 Evaluate nth Roots and Use Rational Exponents
Learning Target: Evaluate nth roots of real numbers using both radical notation and rational exponent notation.
The nth Root Radical Index NumberRadicand The index number becomes the denominator of the exponent.
Radicals If n is odd – one real root. If n is even anda > Two real roots a = One real root a < No real roots
Radical form to Exponential FormChange to exponential form. or or
Exponential to Radical FormChange to radical form. The denominator of the exponent becomes the index number of the radical.
Ex. 1 Finding nth Roots or Find the indicated real nth root(s) of a.A. n = 3, a = -125 Solution: Because n = 3 is odd, a = -125 has one real cube root. Because (-5)3 = -125, you can write: or
Ex. 2 Finding nth Roots or Find the indicated real nth root(s) of a.A. n = 6, a = 729 Solution: Because n = 6 is even, a = 729 has two real sixth roots. Because 36 = 729, you can write: or
Example 3: Evaluate Without a Calculator
Ex. 4 Approximating a Root with a CalculatorUse a scientific calculator to approximate: SOLUTION: First rewrite as Then enter the following: To solve simple equations involving xn, isolate the power and then take the nth root of each side.
Ex. 5 Evaluating Expressions with Rational ExponentsB. Using radical notation Using rational exponent notation. OR OR
Example 6: Solving an equationSolve the equation: Note: index number is even, therefore, two answers.
Ex. 7 & 8 Solving Equations Using nth RootsA. 2x4 = 162 B. (x – 2)3 = 10
Homework due 3/4/15 Page 417: All
5.7 Rational Exponents 5.8 Radical equations
7.1/7.2 Nth Roots and Rational Exponents How do you change a power to rational form and vice versa? How do you evaluate radicals and powers with rational.
5-6 Warm Up Lesson Presentation Lesson Quiz
Nth Root and Rational Exponents Section 7.1. WHAT YOU WILL LEARN: 1.How to evaluate nth roots of real numbers using both radical notation and rational.
3.1 Evaluate nth Roots and Use Rational Exponents p. 166 What is a quick way to tell what kind of real roots you have? How do you write a radical in exponent.
Nth Roots and Rational Exponents Solve Radical Equations.
10.2 Rational Exponents.
Section 2Chapter 8. 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives Rational Exponents Use exponential notation for nth roots.
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.
6-3: Rational Exponents Unit 6: Rational /Radical Equations.
HW: Pg. 322 # nth Roots &Rational Exponents which if n is _______, then a has ____________: ____________ if n is _________, then a has ____________:
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.
Note that the denominator of the exponent becomes the index and the base becomes the radicand. Example Write an equivalent expression using radical.
1 Algebra 2: Section 7.1 Nth Roots and Rational Exponents.
7.1 nth Roots and Rational Exponents
Notes Over 7.1 no real 4th roots Finding nth Roots
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.
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