Properties of Exponents
Simplify
c^18/c^6
What is
c^12
?
Sketch a graph of exponential growth. What is special about the multiplier when it’s growth?
This is what "a" value is
a(b)^x
What is the y-intercept?
A savings account earns 4% interest per year. If Josiah puts 500 dollars in now, this is how much will he have after 5 years
What is $608.33?
(4g)-3
1/64g3
2^x = 32, What is x?
What is x=5.
Simplify
(28n^9)^0
What is
1
?
The graph of an exponential function will always cross the x - axis. True or false, explain your answer.
What is false.
The population of a small town is decreasing at a rate of 2% per year. in 1970 the population was 25,000. This is what the approximate population would be in the year 2020.
What is 9104?
x-5/y2
1/x5y2
5^x=1/125, What is x?
What is -3.
Simplify
-5x^-3
What is
-5/x^3
This is the formula for exponential functions.
What is
a(b)^x
?
The number of students in the book club is increasing at a rate of 15% per year and they started with 9 students. How much would they have after 7 years?
What is 23 students?
(3x5)3/(7y2)3
27x3/343y6
(1/3)^2x = 243, What is x?
What is -5/2.
Simplify
(20q^5p^-1)/(5q^3p^8)
What is
(4q^2)/p^9
When given y=ab^x, how do you know if the graph represents growth or decay?
Growth: b > or equal to 1
Decay: b<1
A brand new clinic opened in 2018. They started with 64 patients and each year, their patients increased by 7%. Identify your a, r, and t. How many patients will they have in the year 2025?
a=64, r = 0.07, t= 7 years
102 people
Write the number in scientific notation: 0.000045
4.5 x 10-5
x= (1.25 x 1011) / (5 x 103)
What is 2.5 x 107