6.1 Properties of Exponents
670
What is 1
sqrt16
What is 4
Solve for y:
y=3x, x=4
What is 81
2x=23
What is x=3
Find the common ratio of the geometric sequence:
2,6,18,54, ...
What is 3
x^2 * x^8
What is x10
∛(125)
What is 5
The population of South Park, Colorado, is 5,000 people, and grows at 6% each year. Assuming it is 2026, solve for the population of South Park in 2030, to the nearest person.
What is 6,312 people
7x-3=72x+2
What is x=-5
Determine whether the sequence is arithmetic, geometric, or neither:
9,14,20,27,...
What is neither (not addition nor multiplication)
(x^2)^4
What is x8
sqrt(-100
What is no real solution
The number of bacteria in a petri dish triples every hour. If the dish starts with 800 bacteria, solve for how much is in the dish in 7 hours.
What is 1,749,600 Bacteria
5x=625
What is x=4
Write the next three terms of the geometric sequence:
2, -4, 8, -16, ...
What is 32, -64, 128
(x^3y^2)/(x^4y)
What is (y/x)
642/3
What is 16
There are 50,000 trees in a forest, that being used to make paper. Due to this, the number of trees in this forest is decreasing by 2% each year. Solve for the tree population in 20 years. Round to the nearest tree.
What is 33,380 trees.
8(2x+1)=32(2x-1)
What is x=2
Write an equation for the nth term of the sequence:
2, 12, 72, 432, ...
What is an = 2(6)n-1
((2x^4y^3)/(3xy^5))^2
What is (4x6/9y4)
Solve in simplest radical form: (3)3/2
What is 3sqrt3
You deposit $23,000 in an investment account that earns 4.5% annual interest, compounded quarterly. Solve for how much money you will have in 18 years.
What is $51,468.60
(1/125)^x = 25^(-3x-6)
What is x=-4
Solve for a8, given the following sequence:
3, -6, 12, -24, ...
What is -384