Zero & Negative Exponents
Simplify the expression so it has no negative exponents:
b-4c0d6
d^6/b^4
Convert the following to scientific notation:(5 zero's)
567,900,000
5.679 x 108
Simplify. Evaluate where necessary
(3x3y-2)4
81x^12/y^8
How do you know if a sequence is a geometric sequence?
There is a common ratio (multiplication or division) to get from one term to the next.
The mathmatical term used when a pattern has a common difference
What is arithmetic sequence
Simplify the expression so it has no negative exponents:
1 /( p^2q^-4r^-1
(q^4r) / (p^2)
Convert the following to scientific notation: (8 zeros)
0.000000007981
7.981 x 10-9
Find the volume of a cube with side length of 4/5 m.
64/125 m3
Find the common ratio and the next two terms of the following sequence:
12, 18, 27, ...
x 1.5; 40.5, 60.75
A way to change very small or very large numbers into something more manageable
What is scientific notation
Simplify the expression so it has no negative exponents:
7-2y-4z
z / (49y^4)
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
Find the common ratio and the next two terms of the following sequence:
30, 10, 10/3, ...
x (1/3); 10/9, 10/27
The sequence that is written
tn = n1(r)n-1
What is the geometric sequence
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 x 106 miles
Evaluate the following expression for m = 2, t = -3,
w = 4, & z=0:
wm (t)m
144
What is the formula for a geometric sequence?
T(n) = n1(r )n-1
What is the r in a sequence that grows or decrease through mutiplication or division
ratio
Suppose your allowance doubles every week. This week you receive $2.56. How much will your allowance be 3 weeks from now?
$20.48 ; $0.32
Solve the following multiplication problem. Leave in scientific notation form
(3.2 x 10-6 )(1.685 x 1012)
5.392 x 10^6
The speed of sound is approximately 1.2 x 103 km/hour. How many minutes does it take for sound to travel
7.2 x 10^3 km?
360 minutes
Uning the Geometric Sequence Formula: Find the 8th term of the following geometric sequence, (what is the exact number):
2, 3, 4.5, ...
34.171875
Describe the difference between (x2)3 and (x)2(x)3
The first form is multiplication because it would be
(x2)(x2)(x2) = x6
The second is addition because it is
(x)(x) (x)(x)(x)=x5