Download Algebra 2 C.C. 1.1 Apply Laws of Exponents

Algebra 2 C.C. 1.1
Apply 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
1
2
3
4
5
6
7
Total
population
2
How many mice will there be
after 15 months?
Definition of Powers
bx = b ∙ b ∙ b ∙ b ∙ b ∙ b …
x factors of b
b is the base
x is the exponent
Write without exponents.
Explain the difference
between the expressions:
(-4)x and -4x
73
58
(-3)4
-34
When will the expressions
(-4)x and -4x be equal?
Laws of exponents
1. ∙
2.
∙
=
(5a3)(4a2)
=
3. (ab)x = ax bx
4.
=
5.
=
6. b-x =
; b≠0
7. b0 = 1 ; b≠0
(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 for writing
very large or small numbers.
Scientific Notation takes
the form:
C x 10n
where 1 ≤ C < 10 and
n 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
Use a calculator to simplify.
(5 x 104)(6 x 107)
6 x 10-3
1.4 x 1018
7 x 10-4
assignment
Page 326
Problems 16-56 even