Exponent Rules
Simplify:
(5x7)2
What is
25X14
What is the exponential growth function?
y = a(1+r)t
Determine whether the following represents a geometric sequence. If yes, identify the common ratio.
-9,-36,-144,-576,...
yes, r = 4
Simplify:
sqrt(72)
6 sqrt(2)
What college do I go to?
University of Nebraska - Lincoln
Simplify:
(-2x5)2 * x3
4m13
Annual sales for a fast food restaurant are $650,000 and are increasing at a rate of 4% per year. Use an exponential function to find the annual sales after 7 years.
Do not forget units!
y = 650000(1+.04)7
= $855,355.66
Determine whether the following represents a geometric sequence. If yes, identify the common ratio.
4, -16, -64, 256,...
Simplify:
sqrt(245)
7 sqrt(5)
How tall am I?
6 foot
Simplify:
(x2)2
_______
x4
1
Daniel's print shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. Use an exponential function to find its approximate value after 8 years.
Do not forget units!
y = 35000(1-.05)8
= $23,219.72
Given the geometric sequence, find the next 3 terms.
-5, -25, -125, ___, ___, ___
-625, -3125, -15625
Simplify:
cbrt(-875)
-5 cbrt(7)
What is my fiance's name?
Avery
Simplify:
4x2
___
8x5
1
___
2x3
During a certain period of time, about 70 northern sea otters had an annual growth of 18%. Use an exponential function to find the number of sea otters after 4 years.
Do not forget units!
y = 70(1+.18)4
= 136 Sea Otters
Write the rule for the nth term, then find a7.
-1, -4, -16, ...
a7 = -1 * 46
= -4096
Simplify:
sqrt(49a2b6c5)
7ab3c2 sqrt(c)
Anchorage Alaska
(3xy)2(2x4y3)
____
6x8y
3y4
___
x2
The population of a town is decreasing at a rate of 2.5% per year. If the population starts a 28,000 what will its population be after 15 years?
y = 28000(1-.025)15
= 19,153 people
Write the rule for the nth term, then find a7.
8, 12, 18
a7 = 8 * (3/2)6
= 91.125
Simplify:
sqrt (392a2b2c3)
14abc sqrt(2c)
What is my college minor?
Ceramics