Exponent Rules
This is an expression equivalent to
x^2*x^10
What is
x^12?
This is an expression equivalent to
root(4)(x^5)
What is
x^(5/4)?
This is the y-intercept of the graph whose equation is
f(x)=2(3)^x
What is (0,2)?
This is the value of x:
2^(x+1)*2^(2x+3)=2^10
What is x = 2?
A group of cells is growing at a rate of 8% per hour. If there were 2000 cells to start with, this is an equation that models the situation.
What is
y=2000(1.08)^x?
This is an expression equivalent to
x^10/x^8
What is
x^2?
This is an expression equivalent to
sqrt(x^7
What is
x^(7/2)?
This is the direction of the graph
f(x)=2(0.85)^x
What is decay/decreasing/going down?
This is the value of x:
3^(4x+8)/3^(2x+1)=3^9
What is x=1?
The population of Framingham is growing and is modeled by the equation below. This is the growth rate of Framingham.
y=24125(1.0923)^x
What is 9.23%?
This is an expression equivalent to
(x^2)^10
What is
x^20?
This is a value equivalent to
root(3)(27^4)
What is 81?
This is the domain of
f(x)=2.5(1/2)^x
What is all numbers?
This is the value of x:
5^(x/2)*5^(x/3)=5^8
What is x=48/5 or 9.6
The value of a car depreciates given the formula below. This is the decay rate.
y=21000(0.952)^x
What is 4.8%?
This is a value equivalent to
3^-2
What is
1/9?
This is a value equivalent to
root(5)(32^3)
What is 8?
This is the range of
f(x)=2.5(1/2)^x
What is all positive numbers?
This is the value of x:
(1/4)^(x+2)=2^(x-3)
This is the number of people expected to live in Framingham in 2033 if the current population is 71,000 and it is growing at a rate of 2.3% each year.
What is 89,128 people?
This is an expression equivalent to
(2x^2y)^5
What is
32x^10y^5?
This is an expression equivalent to
x^(-3/4)
What is
1/root(4)(x^3)?
This is the equation of the asymptote of
f(x)=2.5(1/2)^x
What is y=0?
This is the value of x:
(10^x)^(2/3)/10^(1/3)=10
What is x=2?
A retirement account gains 4% each year with an initial investment of $3000. This is how many years it will take to reach $6000.