Exponent Laws
What does 73 times 75 really represent in an expanded form?
(7 x 7 x 7) x (7 x 7 x 7 x 7 x 7) = 78
39
____
33
36
What number does this scientific notation represent?
5.35 x 10-7
0.000000535
(six zeros)
(5.39 x 107) ∙ (7.95 x 103)
4.29 x1011
(4.3 x 103) + (1.2 x 103)
5.5 x 103
What does v6/v5 really represent in expanded notation?
see Ms. Douglass
Simplify using positive exponents:
53 * 5-5
5-2
Scientific notation numbers with negative exponents, express what kind of numbers?
Very small or decimal numbers
(7.42 x 1011)/(6.38 x 1015)
1.16 x 10-4
(6.8 x 105) - (8.9 x 104)
5.9 x 105
What is x-6 in expanded form?
1/x6 = 1/x ∙ x ∙ x ∙ x ∙ x ∙ x
Evaluate. Express answer as a numerical value with no exponents.
4-1 * 4-1
4-2 = 1/42 = 1/16
Write the following in scientific notation
3,678,000,000,000
3.678 x 1012
(6.14 x 10-7) x (8.04 x 10-12)
4.937 x 10-18
(4.32 x 1012) + (8.41 x 109)
[do not round]
4.32841 x 1012
What does (m4)3 really represent in expanded notation?
(m x m x m x m) x (m x m x m x m) x (m x m x m x m)
Simplify. Express answer in positive exponents
x7
__
x9
1/x2
Is the following number in scientific notation?
.634 x 104
No, not between 1 and 10
6.34 x 104
(9.13 x 10-9)/(3.74 x 10-5)
2.44 x 104
(6.53 x 10-6) - (8.94 x 10-5)
DAILY DOUBLE!!!!
Why is 80 equal to 1?
See Ms. Douglass
(56)2
____
(52)-3
518
An object is 100 times greater than a water molecule. If a water molecule is 3.2 x 10-10, then how large is the object?
3.2 x 10-8
An adult blue whale can eat 4.0 x 107 krill in a day. At that rate, how many krill can an adult blue whale eat in 3.65 x 102 days?
1.46 x 1010
If Mexico has 1.1 x108 people as a population and Canada has 3.38 x 107 people. How many more people live in Mexico than in Canada?
7.62 x 107 people