Evaluate
Basic
Rules
Rules
Simplify
Scientific
Notation
Notation
Linear Vs. Exponential
100
2x4, when x=-3
162
100
x^2 x^3
x^5
100
(x^6 y z^-2)^5
Write the answer using positive exponents
(x^30 y^5)/(z^10)
100
Write 6800000 in scientific notation
6.8 x 106
100
Is the table linear or exponential? Explain your reasoning.
Linear. There is a common difference of 4 between the y-values.
200
4x2, when x=-3
36
200
(x^19)/(x^14)
x^5
200
(x^2)^11* x/x^6
x^17
200
Write 0.0000000063 in scientific notation
6.3 x 10-9
200
Is the table linear or exponential? Explain your reasoning.
Exponential. There is a common ratio of 3 between the y-values.
300
3x2, when x=4
48
300
(x^4)^6
x^24
300
(x^12 y)^7
x^84 y^7
300
Write 6.9 x 105 in standard notation
690,000
300
Is this an example of a linear situation or an exponential situation? Write an equation to represent this situation. 
y = 2*4^x
Exponential.
400
5x2, when x=4
80
400
(x^2)/(x^2)
1
400
( (x^5 y)/(-2z^8) )^4
Write the answer using positive exponents
(x^20 y^4)/(16z^32)
400
Evaluate
((2 x 104)(6 x 105))/(3 x 107)
4 x 102
400
Is this an example of a linear situation or an exponential situation? Write an equation to represent this situation.
Linear.
y=-5x+27
500
2x2, when x=-4
32
500
x^2 x^-6
Write the answer using positive exponents
1/(x^4)
500
(x^4 y z^-7)^3
Write the answer using positive exponents
(x^12 y^3)/(z^21)
500
The speed of light 3 x 108 meters/second. If it takes 5 x 102 seconds for light to travel from the sun to the earth, what is the distance in meters between the sun and the earth? Express your answer in scientific notation.
1.5 x 1011 meters
500
The following equation represents the population (P) growth of bacteria in a petri dish after some time (t) in hours:
P=350(2)^t
What is the initial amount/value? What is the growth factor?
Initial amount/value: 350 bacteria
Growth factor: 2 (it doubles)
600
Evaluate -2x2y3 when x = -3 and y = -1
18
600
Simplify -34
81
600
(x^-1 (y^2 z^3)^3)/(x^-8 y^-7 z^4)
x^7 y^13 z^5
600
Write 4.5 x 10-7 in decimal notation
0.00000045
600
The following equation represents the population (P) growth of bacteria in a petri dish after some time (t) in hours:
P=350(2)^t
Based on the prediction equation, what will the bacteria population be after 1 day (24 hours)?
5,872,025,600 bacteria