Exponent Rules
x^3 * x^7
x^10
How do you know if an exponential function is exponential growth?
b value >1
How do you know if an exponential function is exponential growth?
0<b<1
Find the sum
(3x^2+2x+4)+(5x^2-x+6)
8x^2+x+10
Find the product
x(2x+5)
2x^2+5x
Simplify the expression
x^0y^3/y^5
1/y^2
What is the growth factor of the following equation
y=3(5)^x
5
What is the percentage change in the following exponential function?
y=3(0.56)^x
44%
Find the difference
(3x^2-5x+2)-(-7x+8)
3x^2+2x-6
(x+4)(x+2)
x^2+6x+8
Simplify the expression
y^-3/x^-5
x^5/y^3
What is the domain for all exponential functions?
All Real Numbers
What is the range of exponential functions when a is positive?
y=ab^x+k
y>k
Find the sum
(3x^2+2x)+(3+5x-4x^2)
-x^2+7x+3
Find the Product
(2x+4)(3x-5)
6x^2+2x-20
Simplify the expression
(3x^2)^3
27x^6
What is the range of exponential functions when a is positive?
y=-ab^x+k
y<k
A $22400 depreciates at 7.8% annually. How much is the car worth after 7 years?
$12,687.16
Company A makes 3x^2+7x+5 dollars in revenue.
Company B make 4x^2-3x+29 dollars in revenue.
How much money in total do companies A and B make in revenue?
7x^2+4x+34
Find the product
(3x+4)(2x^2+5x-8)
6x^3+23x^2-4x-32
Simplify the expression
x^2y^3z/xy^-2z^3
xy^5/z^2
A savings account of $5000 appreciates a 12% per year. How much money is in the account after 6 years?
$9869.11
Simplify the following expression
6(3)^-2
2/3
It takes -16t^2+5t+180 seconds for a ball to fall.
It takes -16t^2+7t+100 seconds for a second ball to fall.
What is the difference between the first and second ball falling?
-2t+80
(x^2+5x-7)(3x^2-3x+3)