Simplifying Exponents
(6x^5)/(3x^2)
What is 2x^3?
log (base4) 64
3
You deposit 150 dollars into an account that grows at a rate of 6% interest per year
y = 100(1.06)^t
or
y=100(1+0.06)^t
2^x = 2^6
x=6?
You invest $100,000 in an account with 1.01%, how much will you have after 10 years?
$110,571.63?
4xy * 3x^2 y^3
What is 12 x^3 y^4?
log (base 3) 27
3
You buy a car brand new for 20,000 and its value depreciates by 15% per year.
What is
y = 20,000(1-0.15)^t
or
y=20,000(0.75)^t?
6^(-2k-1) = 6^(-3k)
x=1?
A population of 800 beetles is growing each month at a rate of 5%. How many beetles will there be in 4 months?
What is
972 ?
(3xy^3)^4
What is 81x^4y^12?
log (base 5) 1/25
-2
The earth's current population is around 7.5 billion people and it has a doubling time of 61 years.
y=7.5 * 2^(t/61) ?
15^n = 71
1.5741
An investment of $4000 has a doubling time of 7 years. How much money would there be in the investment after 30 years?
What is $78,016.87?
(15x^2y^2)^0
What is 1?
log (base 100) 10
1/2
18 mg of a radioactive substance has a half life of 12 years.
What is
y = 18(1/2)^(t/12)
11^p = 66
1.7472
Ibuprofen has a half life of about 2 hours. If you take a 200mg dose at 1:00pm, how much would be left in your body at 8:00pm?
What is 17.68 mg?
2xy * (2x^2y^2)^2
What is 8x^5y^5?
log (base 16) 1/4
-1/2
What is
y=2400(3.2)^t
2 * 5^x = 46
x=1.9482?
Your new computer cost $1500 but it depreciates in value by about 18% each year. How long will it take to reach close to 0 (use 0.01) dollars?
What is
60 years?