Exponent
Rules
Rules
Simplifying
Monomials
Monomials
Scientific
Notation
Notation
Growth and
Decay
Decay
Geometric
Sequences
Sequences
100
When using the product rule, what do you do to coefficients and exponents?
Multiply coefficients and add exponents
100
Subtract -6b5 from 8b5
14b5
100
(8.6 x 10-4) + (6.7 x 10-5)
9.27 x 10-4
100
Does the asymptote represent growth or decay?
Growth
100
Determine whether then following represents a geometric sequence.
6, 18, 24, 30,...
No
200
When using the power rule, what do you do to coefficients and exponents?
Raise coefficient to the power and multiply exponents
200
(-a6b)2 + 9a12b2
10a12b2
200
(3.5 x 103) - (9 x 101)
3.41 x 103
200
What is the formula for exponential growth and decay?
y= a(1+r)t and y=a(1-r)t
200
Given the geometric sequence, find the next 3 terms.
7, -21, 63, __, __, __
-189, 567, -1701
300
When using the quotient rule, what do you do to coefficients and exponents?
Divide coefficients and subtract exponents
300
(r^6s^7t^2)/(r^5s^4t^2)
rs3
300
(5.6 x 104) x (4.5 x 106)
2.52 x 1011
300
A population of a city is 422,000 and increases by 12% each year. Use an exponential function to find the population of the city after 8 years.
1,044,856
300
Given the geometric sequence, find the next 3 terms.
8, 4, 2, __, __, __
1, 1/2, 1/4
400
When adding or subtracting monomials, what do you do to coefficients and exponents?
Just combine like terms. Leave variables and exponents alone.
400
(-4y3)2 * (xy4)3 + 7x3y18
23x3y18
400
(7.6 x 10-7) x (8.9 x 10-2)
6.764 x 10-8
400
A car bought for $13,000 depreciates at 15% per year. Use an exponential function to find the value of the car after 5 years.
$5,768.17
400
Given the sequence {-2, 6, -18,...}, write a rule, then find a8.
a8= 4,374
500
How do you make a negative exponent positive?
move the variable and exponent down.
500
P = 8x2y + 26x
A = 52x3y
500
((1.75x10^5))/((5x10^-3))
3.5 x 107
500
Scott purchased a painting in 2006 for $1,250. Since then, its value has increased by 6% each year. Use an exponential function to find the value of the painting in 2017.
$2,372.87
500
Given the sequence {6144, 3072, 1536,...}, write a rule, then find a15.
a15 = 0.375