6.4 Zero & Negative Exponents
Simplify the expression so it has no negative exponents:
b-4c0d6
(d^6) / (b^4)
Convert the following to scientific notation:
567,900,000
5.679 x 108
Simplify without negative exponents:
(3x3y-2)4
(81x^12) / y^8
New: Classify the exponent as growth or Decay y = 1/3 * 5x
OLD Question: How do you know if a sequence is a geometric sequence?
New: What is Growth
Old Answer: The is a common ratio to get from one term to the next.
Simplify the expression so it has no negative exponents:
1
p2q-4r-11 /( p-2 q-4 r-1
q4r/p2
Convert the following to scientific notation:
0.000000007981
7.981 x 10-9
Find the volume of a cube with side length of 4/5 m.
64/125 m3
Graph y = 1/3x + 4.......
Determine: Growth/ Decay
Domain: __________ & Range __________
y-intercept: _______ & Asymptote: _______
Old Q: Find the common ration and the next two terms of the following sequence:12, 18, 27, ...
Decay: (1/3)
Domain: All Real Numbers
Range: y>4
Y intercept: (0,5)
Asymptote: y = 4
Old x 1.5; 40.5, 60.75
The function y = 25(0.80x) models the amount y of a 25-mg dose of medicine remaining in the bloodstream after x hours. How many milligrams (to the nearest tenth) of medicine remain in the bloodstream after 5 hours?
about 8.2 mg
Simplify the expression so it has no negative exponents:
7-2y-4z
z / (49y4)
Simplify:
(7.3 x 107) x (1.12 x 10-2)
8.176 x 105
Evaluate the following expression for m = 2, t = -3,
w = 4, & z = 0:
wmwz
16
y = 2x + 1
Determine: Growth/ Decay
Domain: __________ & Range __________
y-intercept: _______ & Asymptote: _______
Old:Find the common ratio and the next two terms of the following sequence: 30, 10, 10/3, .
Growth b > 1 (b = 2)
Domain: All Real #'s Range: y > 1
Y intercept: (0, 3)
Asymptote: y = 1
OLD: x (1/3); 10/9, 10/27
Write the exponential decay for the following situation and the find the amount.
$3000 investment, 8% loss each year for 3 years
y = 3000(0.92)x
$2336.06
Evaluate the expression for r = -3 & s = 5:
5r3s-1
-27
The space probe Voyager 2 traveled 2 million, seven hundred ninety-three thousand miles. Write that number in scientific notation.
2,793,000
2.793 x 106 miles
Evaluate the following expression for m = 2, t = -3,
w = 4, & z = 0:
wm x tm
144
Daily Double: Graph y = (2/3)x + 2
Determine Growth or Decay
Domain & Range
y intercept & Asymptote
Decay b < 1, b = 2/3
Domain: All Real #'s Range: y> 2
y intercept: (0, 3)
Asymptote: y = 2
Write the exponential growth for the following situation and the find the amount.
$200 principal, 4% compounded annually for 5 years
y = 200(1.04)x
$243.33
Suppose your allowance doubles every week. This week you receive $2.56. How much will your allowance be 3 weeks from now? How much was your allowance 3 weeks ago?
y = 2.56(2)3
y = 2.56(2)3
$20.48 ;
y = 2.56/2/2/2 = .32
$0.32
Write the following numbers in standard form:
3.2 x 10-6
1.685 x 1012
0.0000032
1,685,000,000,000
The speed of sound is approximately 1.2 x 103 km/h. How long does it take for sound to travel 7.2 x 102 km?
36 minutes
Graph y = 1/2 * 2x - 4
Determine: Growth or Decay
Domain & Range
y intercept & Asymptote
Old: Find the 8th term of the following geometric sequence,(what is the exact number):2, 3, 4.5..
Growth b > 1 b = 2
Domain: All Real #'s
Range: y > -4
Y intercept: (0, -3,5)
Asymptote y = 4
Old:34.171875
Write the exponential growth for the following situation and the find the amount.
You deposit $520 in an account with 4% interest compounded monthly. What is the balance after 5 years?
y = 520(1 + (.04/12))5*12
$634.92