Exponents

Exponent Rules

100

4b*3b^4

What is 

12b^5?

200

m*(2m)^0

What is m?

300

(4m^3)^2

What is 

16m^6?

400

(4x^2y^-1)/y^0

What is 

(4x^2)/y?

500

3m^3*mn^3*m^4n^4

3m^8n^7

Growth-Decay

100

Exponential Growth, Exponential Decay, or Neither? Why?

y=(1/4)^x

What is exponential decay because the base is less than 1?

200

Exponential Growth, Exponential Decay, or Neither? Why?

y=(5/2)^x

What is exponential growth because the base is greater than 1?

300

Exponential Growth, Exponential Decay, or Neither?

y=1^x

What is neither because the base is equal to 1?

400

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.

500

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

Geometric or Arithemetic

100

-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

200

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.

300

-7, -14, -28, -56, _____. Arithmetic or Geometric?  Why?  What is the next term?

What is geometric because it increases by a constant x -2?  Next term is -112.

400

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.

500

80, 40, 20, 10, ____.  Geometric or arithmetic?  Why?  What is the next term?

What is Geometric because it decrease by constant dividing by 2?  Next term is 5.

Scientific & Standard

100

Write 130 in Scientific Notation

What is 

1.3x10^2 ?

200

Write .00045 in scientific notation

What is

4.5x10^(-4)?

300

5x10^3

 Write in standard form

what is 5000?

400

(2.1x10^(-1))(4.19x10^6)

Write answer in proper Scientific Notation.

What is 

8.799x10^5

500

(6.3x10^9)/(7.5x10^-8)

Write answer in proper scientific notation.

What is  8.4x10^16 ?

Linear-Exponential

100

y=3

What is linear?

200

y=2x+2

What is linear?

300

y=3x^3

What is neither?

400

y^(2x)+2

What is exponential?

500

y=2x^2

Linear, Exponential, or Neither?

What is neither? Exponential is a constant base with the variable as the exponent.