Name_____________________________
Period _________
Exponents and Order of Operations Study Guide
1. Label the parts: (2 pts)
3
4
Complete the table. (10 pts)
Exponential
Form
(Power)
2.
Word Form
Expanded Form
three to the fourth
power
3.
53
4.
1∙7 ∙ 7 ∙ 7
5.
30
6.
1∙10 ∙ 10 ∙ 10 ∙ 10
7.
121
8.
two to the sixth
power
9.
nine cubed
Standard Form
Name_____________________________
Period _________
10. What is the order of operations? Do not just write PEMDAS. Give an example. (4 pts)
Term
Example (symbol)
1. __________________
_______________
2. __________________
_______________
3. __________________
_______________
4. __________________
_______________
Evaluate the following expressions. Show ALL your work. (Hint: a line for each step!)
(2 pts each)
11.)
53 – ( 8 + 2) + 5 (9 – 5)
13.)
14 + 12 – 6 – 5 + 34 – 100
15.
12.)
14.)
5 + 3 ∙ 4 - 8 + 22 ∙ 7
7 (42 - 5 ∙ 3)
Let a = 4, b = 8, c = 2, d = 7, e = 3, f = 9, g = 10
a)
7d – 2g
b)
bc – c3
c)
d)
da2
e)
f (b + e)
f)
𝑎+𝑏
3
3a + e2