Algebra 2 C.C. 1.1Apply Laws of Exponents

A pet store raises mice for sale. The owner starts with 2 mice. The mice will reproduce in a manner so that the total population of the mice doubles every month. Complete the table below showing the total number of mice.

Month number

Total population

1 2

2

3

4

5

6

7

How many mice will there be after 15 months?

Definition of Powersbx = b b b b b ∙ ∙ ∙ ∙ ∙

b … x factors of bb is the base x is the exponent

Write without exponents.

73

58

(-3)4

-34

Explain the difference between the expressions: (-4)x and -4x

When will the expressions (-4)x and -4x be equal?

Laws of exponents

1. ∙ ∙ = 2. =

3. (ab)x = ax bx

4. = 5. = 6. b-x = ; b≠0 7. b0 = 1 ; b≠0

(5a3)(4a2)

(2x)5

Simplify

(6x2y3)(2x5y4) 70 7∙ -3

(72)-1

Explain why 0-3 is undefined.

Simplify

(2a2b3)3

4a4b7

5w3y-4

w-2y2

Explain why 00 is undefined.

Page 325 example 3

Scientific Notation is a short cut method foe writing very large or small numbers.

Scientific Notation takes the form:

C x 10n

where 1 ≤ C < 10 andn is an integer

Write in scientific notation.3,500,000,000

45,000

.000 000 0576

.007

Write in standard notation

4.1 x 105

6 x 10-3

Use a calculator to simplify.(5 x 104)(6 x 107)

1.4 x 1018

7 x 10-4

assignment

Page 326Problems 16-56 even, 60,62,70,83