1/2 Exponents and Radicals 1/3 - dozier math€¦ · 29/09/2017  · C0S7D1.notebook 1 September...

5
C0S7D1.notebook 1 September 29, 2017 Chapter 0 Section 7 Exponents and Radicals b=b 1/n n Square root = 1/2 power Cube Root = 1/3 power 25 1/2 8 1/3 (27) 1/3 27 1/3 Example 1

Transcript of 1/2 Exponents and Radicals 1/3 - dozier math€¦ · 29/09/2017  · C0S7D1.notebook 1 September...

Page 1: 1/2 Exponents and Radicals 1/3 - dozier math€¦ · 29/09/2017  · C0S7D1.notebook 1 September 29, 2017 Chapter 0 Section 7 Exponents and Radicals √b = b1/n n Square root = 1/2

C0S7D1.notebook

1

September 29, 2017

Chapter 0Section 7

Exponents and Radicals

√b  =  b1/nn

Square root = 1/2 power

Cube Root = 1/3 power

251/2

81/3

(­27)1/3

­271/3

Example 1

Page 2: 1/2 Exponents and Radicals 1/3 - dozier math€¦ · 29/09/2017  · C0S7D1.notebook 1 September 29, 2017 Chapter 0 Section 7 Exponents and Radicals √b = b1/n n Square root = 1/2

C0S7D1.notebook

2

September 29, 2017

bm/n = √bm    =   (√b)mm is a powern is a root

82/3

85/3

Negative powers in the numerator   move to the denominator

32­2/5

1  ­2/38

Example 2

Do the root first and then the power!

Example 3

n n

Page 3: 1/2 Exponents and Radicals 1/3 - dozier math€¦ · 29/09/2017  · C0S7D1.notebook 1 September 29, 2017 Chapter 0 Section 7 Exponents and Radicals √b = b1/n n Square root = 1/2

C0S7D1.notebook

3

September 29, 2017

Properties of Power hold true even with fractions

xm xn = xm +n

(xm)n = xmn

x1/2 x2/3

(a2/3)3/2

(162/3)1/2

y3/4y1/2

Example 4

Page 4: 1/2 Exponents and Radicals 1/3 - dozier math€¦ · 29/09/2017  · C0S7D1.notebook 1 September 29, 2017 Chapter 0 Section 7 Exponents and Radicals √b = b1/n n Square root = 1/2

C0S7D1.notebook

4

September 29, 2017

Example 5

Express answer with positive exponents only

x1/2   6y1/3

3 x1/2 (x­3/4 )

42a1/428a1/9

Page 5: 1/2 Exponents and Radicals 1/3 - dozier math€¦ · 29/09/2017  · C0S7D1.notebook 1 September 29, 2017 Chapter 0 Section 7 Exponents and Radicals √b = b1/n n Square root = 1/2

C0S7D1.notebook

5

September 29, 2017

Homework 7AP 79 # 1­32