Exponent Rules
Simplify the expression
x3 * x7
x10
How do you know if an exponential function is exponential growth?
b value >1
How do you know if an exponential function is exponential decay?
0<b<1
Find the sum
(3x2+2x+4)+(5x2-x+6)
8x2+x+10
Find the product
x(2x+5)
2x2+5x
Simplify the expression
(x^0y^3)/y^5
1/y2
What is the common multiplier 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
(3x2-5x+2)-(-7x+8)
3x2+2x-6
Find the product
(x+4)(x+2)
x2+6x+8
Simplify the expression
y-3/x-5
x5/y3
What is the domain for all exponential functions?
All Real Numbers
What is the range of exponential functions when a is positive?
y=abx+k
y>k
Find the sum
(3x2 + 2x) + (3 + 5x- 4x2)
-x2 + 7x + 3
Find the Product
(2x+4)(3x-5)
6x2+2x-20
Simplify the expression
(3x2)3
27x6
What is the range of exponential functions when a is negative?
y=-abx+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 3x2+7x+5 dollars in revenue.
Company B make 4x2-3x+29 dollars in revenue.
How much money in total do companies A and B make in revenue?
7x2+4x+34
Find the product
(3x+4)(2x2+5x-8)
6x3+23x2-4x-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 -16t2+5t+180 seconds for a ball to fall.
It takes -16t2+7t+100 seconds for a second ball to fall.
What is the difference between the first and second ball falling?
-2t+80
Find the product
(x2+5x-7)(3x2-3x+3)
3x4+12x3-33x2+36x-21