Chapter 7

Page 1

positive exponents - provide whole # (or integer) outcome

negative exponents - provide a rational # outcome make a fraction positive/negative

Zero exponents - Answer is ALWAYS 1

Examples

3^3 3^2 3^1 3^0 3^-1 3^-2 3^-3

27 9 1 1 1/3 1/9 1/27

A 7^-3 1/343

B 81,000^0 1

C 5^3 10^-2 5^3/10^2 5x5x5/10x10= 125/100= 5/4

1. 3^2 x^-5 y^3/3^-1 x^5 y move every negative

3^2 3^1 y^3/x^5 x^5 y

3x3x3xYxYxY/ XxXxXxXxXxXxXxXxXxXxy

Scientific notation- method of writing very large #s as a decimal multiplied by a power of 10 3,406,000= 3.406 x 10^6

0.0000012= 1.2 x 10^-6

powers of 10

1. 10^5= 100,000

2. 10^-7 = 1/10^7 0.0000001

3. 10,000,000,000= 10^10

4. 0.0000000000001= 10^-14

order the numbers

5.2 x 10^-3, 3 x 10^14, 4 x 10^-3, 2.1 x 10 ^-12, 4.5 x 10^30

2.1 x 10^-12, 4 x 10^-12,

count the 0's and that is the power of ten

X^m x X^n = X^m+n

6^-7 x 6^10 = 6^-7+ 10 = 6^3= 6x 6x 6= 216

X^-3 x X^5 x X^8= X^-3+5+8 = X^10

2^2 x 2^5= 2x2x2x2x2x2x2 = 2^7 = 128

3^-1 x 3^-3= 3^-4= 1/34= 1/81

(2.5 x 10^8) (6,000)

x^m/x^n= x^m-n

3^5/3^3 = 3^5-3

3x^2 y /

2^-2 x^2 y^3 = x^2-2 y^1-3 = x^0 y^-2 /y^2

3/2^-2 move 2 to the top because of the negative exponent

3x 2^2= 12

12/y^2

7-1 Integer Exponents pg 449

7-2 powers of 10 science notation

7-3 multiplication prop of exponents

7-4 / properties of exponents

7-5 integer exponents/ rules X and / exponents