Product and Quotient of Powers
Power of a Power
Power of a Product and Power of a Quotient
Exponential Functions
Exponential Growth and Decay
100
Simplify (22) (25)
128
100
Simplify (42)2
256
100
Simplify (a3b6)4
a12b24
100
Which of the following is not an exponential function? a) y= 0.2 * 8^(2) b) y= 4 * x^(2) c) y= 2^(x) d) y= 0.25^(x) + 2
d) y= 0.25^(x) + 2
100
Exponential growth can be modeled by the function y=a*bx. What does the b signify?
b is the growth factor and is greater than one.
200
Simplify (68)/(66)
36
200
Simplify (u11)11
u121
200
Simplify (3a / 7b)2
(9a2) / (49b2)
200
Evaluate the function for x= {-2, -2, 0, 1, 2} y= 0.5^(x)
(-2, 4) (-1, 2) (0, 1) (1, 0.5) (2, 0.25)
200

Suppose that the population of a city was 8,000 six years ago, but since then it has been declining at an average rate of 0.75% per year. Write an equation to find the population after x years.

y=8,000(1-0.0075)x

300
Simplify (r3s4) (s2t2)
r3s6t2
300
(q10)0
1
300
Simplify (df)2 (gh)5
d2f2g5h5
300
Evaluate the function for x= {-2, -1, 0, 1, 2} y= -5^(x)
(-2,-0.04) (-1,-0.2) (0,-1) (1,-5) (2,-25)
300
The value of a new car decreases exponentially at a rate of 15% per year. A new has an initial value of $24,000. What is the value of the car after 5 years?
Value of the car after 5 years: $10,648.93
400
Simplify (a8)/(a17)
a-9 or 1/(a9)
400
Simplify (x-18)3
x-54 or 1/x54
400
Simplify (p5/r7)9
p45/r63
400
As the value of x increases in the function y=(1/3)^(x) what happens to the value of the function, does it increase/decrease? Give two examples.
(-2,9) and (2, 1/9) shows that as the value of x increases the value of the function decreases.
400
20% of a particular medicine is absorbed by the bloodstream every hour. A patient takes a 40 milligram dose of this medicine at 9 A.M. How many miligrams of medicine are absorbed in the bloodstream at 2 P.M?
13.11 milligrams of medicine are absorbed.
500
Simplify (45e4f3) (4-5e-6f-1)
(f2)/(e2)
500
Simplify: ((s8)4))5
s160
500
Simplify [(4m6n14)/(2m3n7)]3
8m2n2
500
When an exponential function has a positive base, that is less than or equal to 1, does the graph rise or fall from left to right? Give a brief explanation.
It falls. When 0
500
Determine whether following points represent a linear, absolute value, or exponential function. Give a brief explanation as to why. (1,3) (2,9) (3,27) (4,81)
Exponential because there is a common ratio between the values.
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