Zero and Negative Exponents - Basic
Exponents with Multiplication
Power to a Power Rules
Division with Exponents
Growth and Decay
100
160
What is 1?
100
b7 (b13)
What is b20?
100
(x5)2
What is x10?
100
c16/c9
What is c7?
100
Joey deposited $50 in a savings account earning 5% interest, compounded annually.
What is the equation?
y = 50(1.05)x
200
-160
What is -1?
200
(8d4)(4d7)
What is 32d11?
200
(2-3)4
What is 212 = 1/(212)?
200
37/34
What is 33 = 27?
200
The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)t where t is the number of years since 1990.
What is the growth factor of this equation? (written as a percent)
4%
300
16-1
What is 1/16?
300
23 * 22
What is 25 = 32?
300
(4a5)3
What is 64a15?
300
(a6 b-5)/(a-2*b7)
What is a8/b12?
300
Write a function to describe the situation.
You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%.
y = 120 (0.88)x
400
(1/16)-1
What is 16?
400
x-9 * x3 * x2
What is x-4 = 1/x4?
400
(m-3*n4)-4
What is m12 * n-16 = m12/n16?
400
(a3/b2)4
What is a12/b8?
400
What is
growth y =4* 2x
decay y =12 (1/3)x
Neither
500
(16-3)(163)
No calculator
No calculator
What is 1?
500
(7p4)(5p9)(2q-7)
What is 70p13/q7?
500
(4x4)2 * (2xy3)3
What is 128x11y9?
500
(a2b-4/b2)5
What is a10/b30?
500
Since 2005, the amount of money spent at restaurants in the United States has increased about 7% each year. In 2005, about $360 billion was spent at restaurants.
Write the equation with x representing years and y representing money in billions. AND predict the annual spending in 2015.
y = 360(1.07)x
x = 10, y = 708 billion