Product of Powers
52 * 5
53
(y^8)/(y^5)
y3
(8^4)^3
812
(25x)^0
1
Decrease 122,000 by 12%
107,360
c3 * c5
c8
(5^10)/(5^7)
53
(k^7)^5
k^35
2^(-4)
1/16
A population of bacteria is growing at a rate of 20% per hour. If the population starts at 320, approximately what is it 3 hours later?
553
The expression 32 x 33 x 34 is equivalent to what?
39
(12w^5)/(2w)
6w^4
((3^2)^2)^2
3^8
3x^(-2)+2x^0
What is f(2)?
2.75
Adrianne invested $2000 in an account at a 3.5% interest rate compounded annually. She made no deposits or withdrawals on the account for 4 years. Determine, to the nearest dollar, the balance in the account after the 4 years.
$2,295
Which expression represents (3x2y4)(4xy2) in simplest form?
12x3y6
When -9x5 is divided by -3x3, the quotient is what?
3x^2
If the expression
(2y^a)^4
is equivalent to
16y^8
what is the value of a?
2
100,000x^0
100,000
A car was purchased for $25,000. Research shows that the car has an average yearly depreciation rate of 18.5%. Create a function that will determine the value, V(t), of the car t years after purchase.
v(t) = 25,000(0.815)^t
If x = 5a, then what is the value of 5x?
5a+1
Simplify:
(27k^5m^8)/((4k^3)(9m^2))
(3k^2m^6)/4
If
10^k = x
then
10^(3k)
is equal to?
x^3
x^-2y^4
(y^4)/(x^2)
The New York Volleyball Association invited 64 teams to compete in a tournament. After each round, half of the teams were eliminated. Write an equation that represents the number of teams, t, that remained in the tournament after r rounds?
t(r) = 64(0.5)^r