NAME: _________________________________________________
Quiz 2: Exponents and Scientific Notation (50 points)
For problems 1 – 8, circle the best answer. (3 points each)
1.
2.
3.
Simplify the product of a power 63 ∙ 62
A. 12𝑥 6
B. 65
C. 365
D. 366
9𝑎8
Simplify the quotient of a power 3𝑎4 .
A. 3𝑎4
C. 3𝑎2
B. 6𝑎4
D. 6𝑎2
Simplify the power of a power (3𝑥 3 )2.
A. 9𝑥 9
B. 9𝑥 6
C. 3𝑥 6
D. 6𝑥 6
4.
The expression 3 ∙ 3 ∙ 3 ∙ 3 can also be written as?
B. 124
A. 43
D. 34
C. 33
5.
Write 584.392 in scientific notation.
A. 584.392 𝑥 100
C. 5.84392 𝑥 102
6.
B. 58.4392 𝑥 101
D. 5843.92 𝑥 10−1
Which one of the following numbers are written correctly in scientific notation?
A. The Statue of Liberty is 3.05 𝑥 102 feet tall.
B. People spend approx. 4050.0 𝑥 10−1 minutes on Facebook each month.
C. A golf ball has a diameter of about 1.680 𝑥 53 inches.
D. It would take a person approx. 0.116 + 103 hrs to walk to Washington, DC from New York.
7.
8.
Write 8.46 x 105 in standard form.
A. 8.46
C. 84,600
B. 8.460000
D. 846,000
Write 4.62 x 10−2 in standard form.
A. 462
C. . 00462
B. 0.0462
D. 46,200
SHORT ANSWER (#9 is work 6 points and #10/11 are worth 10 points each)
Give your answer in the space provided. All answers must be given in correct scientific notation.
9. Beyonce has approximately 42,500,000 fans on Facebook. Iggy Azalea has approximately 42.3 x 106 fans
on Facebook. Use an inequality to show which celebrity has the greater number of fans. Change both
numbers into scientific notation (if not already).
10. The volume of Venus is approximately 9.4 x 1011 km. The volume of Mars is approximately 1.6 x 1011 .
a. About how many times as great as the volume of Mars is the volume of Venus? (Hint: Venus ÷ mars).
b. The volume of Earth is approximately 0.69 x 10−1 times larger than the volume of Mars. What is the
approximate volume of Earth? (Hint: (Volume of Mars)(0.69 x 10−1))
11. Angora wool, obtained from rabbits, has fibers with a diameter of about 1 𝑥 10−6 meter. Cashmere,
obtained from goats, has fibers with a diameter of about 1.45 𝑥 10−5 meter. Write your answer in the
appropriate units, using scientific notation.
a. Find the sum of the diameters of the two types of fibers. (Hint: Sum = diameter of angora + diameter of
cashmere)
b. How much wider is the cashmere fiber than the angora fiber?
(Hint: Difference = diameter of cashmere – diameter of angora)