Exponent Rules
4b*3b^4
What is
12b^5?
Exponential Growth, Exponential Decay, or Neither? Why?
y=(1/4)^x
What is exponential decay because the base is less than 1?
-17, -20, -23-, -26, _____. Arithmetic or Geometric? Why? Determine the next term.
What is arithmetic because it decreased by a constant -3? Next term is -29
Write 130 in Scientific Notation
What is
1.3x10^2 ?
y=3
What is linear?
m*(2m)^0
What is m?
Exponential Growth, Exponential Decay, or Neither? Why?
y=(5/2)^x
What is exponential growth because the base is greater than 1?
5, 25, 125, 625, _____. Arithmetic or Geometric? Why? What is the next term?
What is Geometric because it is multiplied by 5 to get the next term? The next term is 3125.
Write .00045 in scientific notation
What is
4.5x10^(-4)?
y=2x+2
What is linear?
(4m^3)^2
What is
16m^6?
Exponential Growth, Exponential Decay, or Neither?
y=1^x
What is neither because the base is equal to 1?
-7, -14, -28, -56, _____. Arithmetic or Geometric? Why? What is the next term?
5x10^3
Write in standard form
what is 5000?
y=3x^3
What is neither?
(4x^2y^-1)/y^0
What is
(4x^2)/y?
You open a bank account that pays you 1% interest. You deposit your lottery winnings of $55,000.
y=C(1pmr)^t
Is it growth or decay? Why? What are y, C, r, and t? How much will you have in 16 years?
What is growth because I am getting interest from the bank? y=$64,491.83, C=$55,000, r=0.01, t = 16. I will have $$64,491.83, in 16 years.
5, 10, 15, 20, _____. Geometric or arithmetic? Why? What is the next term?
What is arithmetic because it increases by a constant +5? Next term is 25.
(2.1x10^(-1))(4.19x10^6)
Write answer in proper Scientific Notation.
What is
8.799x10^5
y^(2x)+2
What is exponential?
3m^3*mn^3*m^4n^4
3m^8n^7
You deposit $650 into an account that pays 3.5% annually. Growth or decay? Why? What are y, C, r, and t? How much money would be in your account after 5 years?
What is growth because the bank pays money to me each year? y=$xxxxx, C=$650, r=0.035, t=5
80, 40, 20, 10, ____. Geometric or arithmetic? Why? What is the next term?
(6.3x10^9)/(7.5x10^-8)
Write answer in proper scientific notation.
What is 8.4x10^16 ?
y=2x^2
Linear, Exponential, or Neither?
What is neither? Exponential is a constant base with the variable as the exponent.