Exponent Properties - One Variable
Simplify the following expression: p^4 xx p^2
p^6
Simplify the following expression (all positive exponents)
y^-3 / h^-5
h^5 / y^3
Solve for x:
x^(1/3)=3
x=27
sqrt(4
Write an equation that models: $1500 invested at 4% per year compounding annually.
f(x) = 1500*(1+.04)^x
Simplify the following expression (only positive exponents)
h^3 / ( h^7)
1/ (h^4)
Simplify the following expression (all positive exponents)
-7x^-2
-7 / (x^2
Solve for x:
-x^(3/2)=-27
x=9
root(3)(27)
3
Write an equation that models: $900 invested at 7% per year compounding monthly.
f(x) = 900*(1+.07/12)^(12x)
Simplify the following expression (only positive exponents)
(j^3j^-3)^2
1
Simplify the following expression (all positive exponents)
(x^-5q^-4) / (x^4)
1 / (x^9q^4
DAILY DOUBLE
Use the following equation to prove the power rule. Why is the following true?
(x^3)^2=x^6
sqrt(2^4)
4
Write an equation that models: A car bought for $41350 decays in value 12% per year.
f(x)=41350*(1-.12)^x
Simplify the following expression (only positive exponents)
w^-2/(w^3w^-4)
1 /(w)
Simplify the following expression (all positive exponents)
q^3h^-4q^-3h
1 / h^3
Solve for x:
-646=-3(65-n)^(3/2)+2
x = 29
16^(3/2)
64
Write an equation that models: A boat bought for $18700 decays in value 8% per year compounding continuously.
f(x)=18700*e^(-.08x)
Simplify the following expression (only positive exponents)
((c^5c^-2)/(c^-9c^2))^-2
1 /(c^20
Simplify the following expression (all positive exponents)
((t^-2d^3)/(d^-7d^2))^-3
t^6/d^24
Solve for x:
34^(2x+4)=34^(x)
x=-4
(2^(1/3))^6
4
An investment of $1300 grows at 1% per month. Write an equation that models this situation with x representing the number of years.
f(x)=1300*(1+.12/12)^(12x)