Study Guide: Unit 2 Test Exponents and Scientific Notation
1. Which is the cube root of 512?
2. Solve the equation 𝑥 3 = 64
3. Between which of the following pairs of
numbers does the cube root of 40 lie?
4. The expression 2 ∙ 2 ∙ 2 can also be
written as?
3
5. Plot √729 on a number line using intervals of
one.
7. Simplify the quotient of a power
18𝑏 3
2𝑏 5
.
9. Simplify the expression using a positive
exponent.
𝑥 −9
𝑥3
.
6. Simplify the product of a power 43 ∙
45
8. Simplify the power of a power (4𝑥 3 )2 .
10. Express 9,760,000 in scientific
notation
11. Express .000158 in scientific notation
12. Express 6.14 x 107 in standard
notation
13. Express 1.636 x 10−4 in standard notation
14. Complete the statement
6.4 x 104 ____ 2 x 108 with an
inequality to make it true
15. Write the following in correct scientific
notation. 751.3 𝑥 107
16. Express the result in scientific notation. Show your work.
a. (2 𝑥 103 )(4.7 𝑥 105 )
b.
14.4 𝑥 1012
5.5 𝑥 106
17. An army tank weighs 8.25 x 105 pounds, whereas a lady bug weighs
3.4 x 10−4 pounds. Write both weights in standard notation.
a. Army Tank –
b. Lady Bug –
18. The table shows the amounts of energy, in calories, contained in various foods. Write each
food’s energy in either Standard Notation or Scientific Notation.
Food (per 100g)
Energy (Cal) in Standard
Notation
Chicken Breast
171,000
7.7 x 101
Raw Potato
Cabbage
Salmon
Energy (Cal) in Scientific
Notation
25,000
1.67 x 105
a. Complete the table. Find the total energy in each food combination. Complete all calculations in
scientific notation.
a. Chicken breast and cabbage. Write your answer in scientific notation.
b. Cabbage and raw potato. Write your answer in standard notation.
c. Find the difference between chicken breast and salmon. Write your answer in standard
notation.