Name ___________________________________
Unit 1 Exponential Notation and Properties of Integer Exponents
Day 1 Exponential Notation
Date _________
When we add 5 copies of 3, what are two ways of abbreviating this mathematically?
When we multiply the same number, 3, with itself 5 times, how can we abbreviate this
mathematically?
Student Outcomes
 I can know what it means for a number to be raised to a power and how to represent the
repeated multiplication symbolically.
_______________
4
3x
__________________
__________________
________________
Base
Coefficient
Exponent
Term
Monomial
Name ___________________________________
Unit 1 Exponential Notation and Properties of Integer Exponents
Day 1 Exponential Notation
9 4
9
56 means 5 × 5 × 5 × 5 × 5 × 5 and (7) means
9
9
Date _________
9
× 7 × 7 × 7.
7
You have seen this kind of notation before, it is called exponential notation. In general, for any
number 𝑥 and any positive integer n,
(𝑥 ∙ 𝑥 ⋯ 𝑥)
𝑥𝑛 = ⏟
𝑛 𝑡𝑖𝑚𝑒𝑠
The number xn is called x raised to the n-th power, n is the exponent of x in xn and x is the base of xn.
Use what you know about exponential notation to fill in the blank.
1) 5 × 5 × 5 × 5 × 5 × 5 =
_______
4 3
3) (− 11) = ___________________
9
9
9
9
2) 7 × 7 × 7 × 7 =
_______
4) (-2)6 = _______________________
5) 3.84 = ________________________
4
( 7 × ⋯ × 7)
6) 7𝑛 = ⏟
23
4
4
7) (5) = (⏟5 × ⋯ × 5)
________
_________
8) (−2.3)176 = ((
⏟ −2.3) × ⋯ × (−2.3))
_______________
9) ⏟
4 × ⋯× 4 =
7 𝑡𝑖𝑚𝑒𝑠
_______
7
7
10) ⏟
× ⋯× 2 =
2
21 𝑡𝑖𝑚𝑒𝑠
_______
Name ___________________________________
Unit 1 Exponential Notation and Properties of Integer Exponents
Day 1 Exponential Notation
11) ⏟
3.6 × ⋯ × 3.6 = 3.647
Date _________
(−13) × ⋯ × (−13) = _______
12) ⏟
6 𝑡𝑖𝑚𝑒𝑠
𝑡𝑖𝑚𝑒𝑠
(−11.63) × ⋯ × (−11.63) = _____
13) ⏟
34 𝑡𝑖𝑚𝑒𝑠
1
1
14) (−
⏟ 14) × ⋯ × (− 14) = _____
10 𝑡𝑖𝑚𝑒𝑠
15) ⏟
12 × ⋯ × 12 = 1215
16) ⏟
𝑥 ∙ 𝑥⋯𝑥 =
_____
185 𝑡𝑖𝑚𝑒𝑠
𝑡𝑖𝑚𝑒𝑠
17) (−5)
× ⋯ × (−5) = ______
⏟
10 𝑡𝑖𝑚𝑒𝑠
18) ⏟
𝑥 ∙ 𝑥 ⋯ 𝑥 = 𝑥𝑛
𝑡𝑖𝑚𝑒𝑠
Will these products be positive or negative? How do you know?
(−1) × (−1) × ⋯ × (−1) = (−1)12
19) ⏟
12 𝑡𝑖𝑚𝑒𝑠
(−1) × (−1) × ⋯ × (−1) = (−1)13
20) ⏟
13 𝑡𝑖𝑚𝑒𝑠
(−5) × (−5) × ⋯ × (−5) = (−5)95
21) ⏟
95 𝑡𝑖𝑚𝑒𝑠
(−1.8) × (−1.8) × ⋯ × (−1.8) = (−1.8)122
22) ⏟
122 𝑡𝑖𝑚𝑒𝑠
Fill in the blanks about whether the number is positive or negative.
23) If n is a positive even number, then (-55)n is __________________________.
24) If n is a positive odd number, then (-72.4)n is __________________________.
25) Josie says that (−15)
× ⋯ × (−15) = −156 . Is she correct? How do you know?
⏟
6 𝑡𝑖𝑚𝑒𝑠
Rewrite each number in exponential notation using 3 as the base.
26) 27
27) 81
28) 243
Name ___________________________________
Unit 1 Exponential Notation and Properties of Integer Exponents
Day 1 Exponential Notation
Exit Ticket
1) Express the following in exponential notation:
(−13)
× ⋯ × (−13)
⏟
35 𝑡𝑖𝑚𝑒𝑠
Will the product be positive or negative? How do you know
2) Fill in the blank:
2
2
2 4
×⋯× = ( )
⏟
3
3
3
_______𝑡𝑖𝑚𝑒𝑠
Date _________