Product Property
Quotient Property
Simplifying Exponents
Graphs of Exponential Functions
Writing Equations of Exponential Functions
100
5^3 times 5^4
5^7
100
x^8*1/x^3
x^3
100
(x^3)^4
x^12
100
What are the domain and range of y=2(3)^x
Domain: all real numbers
Range: y>0
100
Write a function that crosses through: (0, 6) and (1, 18)
y=6(3)^x
200
x^-4 times x^2
1/x^2
200
(6x^5)/(3x^2)
2x^3
200
(12x^2y)^3
1728x^6y^3
200
Graph: y=4^x
200
A computer system costin $14,000 depreciates at a rate of 12% per year. What will the value be after 6 years?
$6,501.66
300
(m^2n^3)^4
m^8n^12
300
(2a^3b)/(8ab^2)
(a^2)/(4b)
300
((3p^4)/q^2)^2
(9p^8)/q^4
300
What are the domain and range of y=-2(1/3)^x
Domain: all real numbers
Range: y<0
300
A house was purchased for $180,000 in 2015. If the value increases at 4% per year, what will the house be worth in 2020?
$218,997.52
400
(4a^2b^3)(−3ab)
-12a^3b^4
400
(5m^-2n^3)/(m^-4n^-3)
5m^2n^6
400
((2a^3)/b^2)^-2
b^4/(4a^6)
400
Graph: y=-4(1/3)^x
400
Write a function that crosses through: (1,8) and (3, 2)
y=16(1/2)^x
500
(3a^4b^2c^0)*(2a^2b^3c^2)^4
48a^12b^14c^8
500
((3a^4b^-2)/(5a^3b^-1c^6))^-3
(125b^3c^18)/(27a^3)
500
(2x^2y)^3*1/(2x^-5y)
(4x^11y^2)
500
Graph: y=-2(5)^x
State the domain, range, and asymptote.
Domain: all real numbers
Range: y<0
Asymptote: y=0
500
Write a function that crosses through: (-2, -1/4) and (1, -128)
y=-16(8)^x