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
What is the base? 52/3
5
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%
What root is shown? 52/3
3rd root
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
Write the rational exponent in root form. x5/4
4 radical x5
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
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