(-4.79)0
1
1,350,000 in scientific notation.
1.35 x 106
5-2 x 54
52 or 25
77/75
72 = 49
Explain how this is an exponential function:
x: 1 ** 2 ** 3 ** 4
y: 5 ** 25 ** 125 ** 625
Multiplying by 5 each time; 5 is base being raised to a power
-(4)-2
-1/16
0.00567 in scientific notation
5.67 x 10-3
Evaluate: 2x-3y-1 for x = -1 and y = 4
-1/2
t3/t8
t-5 = 1/t5
Identify as exponential or not and defend your reason.
y = -2x8
No, x is not in the exponent
2/b-4
2b4
List in order least to greatest:
4 x 104, 1.5 x 10-1, 2 x 104, 1.2 x 10-2
1.2 x 10-2, 1.5 x 10-1, 2 x 104, 4 x 104
(k-2)-5 k12
k22
x3y4z5 / x2y6z1
xz4/y2
Suppose an investment of $2,300 doubles in value every decade. The function gives the value of the investment after x decades. How much is the investment worth after 2 decades?
$9,200
-1/x-3
-(x3)
(3 x 107) (4 x 10-3) in simplified form
1.2 x 105
([2/3]b4)2
2b4 over 3, all to the second power
4b8/9
5.4 x 1012 / 1.2 x 103
4.5 x 109
A lab is growing bacteria in a culture dish. The amount of bacteria in the dish doubles every 5 hours. Initially, there are 300 bacteria in the dish. How many are in the dish after 15 hours?
y = a * bx
2,400 bacteria
300 x 23
(5/37b-4)0
1
Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5.88 × 1012 miles. Suppose a star is 4.2 × 102 light-years from Earth. Approximate that in miles, in scientific notation.
2.4696 x 1015
a4b-2c x ab5c3
a5b3c4
(2x6/y4)-3
y12/8x18
A car costs $32,000 and depreciates in value by 20% per year. How much will the car be worth after 4 years?
$13,107.20
32,000 x (1-.2)4
32,000 x (.8)4