8.2.1 Exponents and Scientific Notation
Homework
8-47. Rewrite each of the expressions below using exponents.
a. 4 · 4 · 5 · 5 · 5
b. 3 · 3 · 3 · 3 · 3 · y · y
c. (6x)(6x)(6x)(6x)
42 · 53
35· y2
(6x)4
8-48. Calculate the following products without using a calculator.
8-49. Graph the following points on a coordinate grid: (1,1) , (4,1) , and (3, 4) and connect
them.
a. Then translate the points three units right and three units up.
b. What are the coordinates of the vertices of the new triangle?
(4, 4), (7, 4), (6, 7)
8-51. Enrollment in math courses at Kennedy High
School in Bloomington, Minnesota is shown in the
pie chart at right. If there are 1000 students
enrolled in math courses, estimate approximately
how many students are enrolled in each class
listed below. Be sure to show work AND justify
your reasoning for each.
a. Algebra
450
b. Geometry
250
c. Calculus
50
8-52. Determine the compound interest earned on $220 invested at 3.25% compounded
annually for 6 years.
$46.54
8-53. Which number is greater, 3.56 × 104 or 1.9 × 106. Show and explain how you know.
1.9 × 106 is greater
8-54. Write the following numbers in scientific notation.
a. 370,000,000 3.7 × 108
b. 7,600 7.6 × 103
8-55. Simplify each expression.
a. 65
7776
b.
8/27
c. (2 + 3)4
625
d.
1/32
8-56. Consider the equation 7 = 3x − 5.
a. Stanley wants to start solving the equation by adding 5 to both sides, while Terrence
first wants to subtract 7 from both sides. Will both strategies work? Is one strategy
more efficient than the other?
Both strategies will work eventually, but adding five to both sides will isolate
the x term
b. Solve 7 = 3x − 5. Show your steps.
x=4
8-57. Examine the table below.
a. What is the rule for the table?
y = 3x – 2
b. Explain the strategy you used to find the rule.
See video