Vocabulary
The number that is multiplied by itself in an exponential function
The Base
To multiply two powers that have the same base, you add their exponents.
Product of Powers
The base number in scientific notation must be between this.
Greater than one and less than 10
2xy0 / 6x
1/3
20c5d5
The number that tells you how many times a base is multiplied by itself
Power
To find the power of a power, multiply the exponents
Power of a Power
Express in Scientific Notaion:
201,000,000
2.01 x 108
(x5) (4x3)
4x8
Camile purchased a rare coin from a dealer for $300. THe value of the coin increases 5% each year. Determine the value of the coin in 5 years.
$382.88
A number, variable, or the product of a number and one ore more variables.
Monomoial
To divide two powers with the same base, subtract the exponents
Power of a Quotient
Express in Scientific Notation:
0.000051
5.1 x 10-5
[(2xy3)2]3
64x6y18
A triangles area if its height is 2g2h5 and its base is 3gh
3g3h6
A monomial that contains only a number and no variable.
Constant
For any non zero number a, and any integer, n, a-n is the reciprocal of an.
Likewise, the reciprocal of a-n is 1/an
Negative Exponent Propoerty
Express in Standard Form:
6.32 x 109
6,320,000,000
m7n4p / m3n3p
m4n
From 2010 to 2015 the population of DC is expected to decrease by 0.9% annually. In 2010 the population was about 530,000. What is the population of DC supposed to be in 2015.
506, 575
A function in the form y = abx
**a cannot = 0, b cannot = 1
Exponential Function
Happy Baby, Sad baby
Top Bunk, Bottom Bunk
The Chall and Simpson ways to remember what to do with negative exponents.
Multiply:
(3.5 x 10-3) (7 x 105)
2.45 x 103
p4t-2 / r-5
p4r5 / t2
An event location does not charge a rental fee as long as at least $4000 is spent on food. For the prom, the hall charges $28.95 per person for a buffet. How many people must attend the prom to avoid a rental fee for the hall?
at least 139