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8B
Exponents
Exponent: tells the number of times the ___________
is used as a _________________________.
____ is the base, and ____ is the exponent.
How to solve? 43 = 4 x 4 x 4 or 64
4
3
____________
__________
Base x Exponent
REMEMBER! Any number to the 0 power = __________!
#
Exponent
1
6 cubed
2
3
4·4·4·4
631
4
5
12 · 12
83
6
7
8
Expanded Form
9·9·9
15 squared
1·1·1·1·1·1·1·1
Product
But what about negative numbers?
When putting a negative number to an __________________________,
it is important to look if the negative number is in ____________________________.
If not, only the _____________________ will be negative.
(-3)3 = (-3)( -3)( -3) or -27
-54 = -5 x 5 x 5 x 5 or -625
#
Exponent
1
(-2)4
2
3
̶ 243
(-7)2
-8 · 8 · 8 · 8 · 8 · 8 · 8
̶ 25
8
9
-3 · 3 · 3 · 3 · 3
(-5)(-5)(-5)
6
7
Product
̶ 45
4
5
Expanded Form
(-4)(-4)
-(-3)2
̶ 2,097,152
Classwork: Odds
Homework: Evens
For #1-4 Compare using <, >, = (show your work)
1)
42
3)
(-2)5
70
53
2)
(-1)9
33
4)
62
26
5) Put in ascending order. Keep the format. 33,
_________,
__________,
6) Put in descending order. Keep the format.
_________,
__________,
16,
43,
_________,
-52,
(-3)2,
_________,
Solve the following exponent problems.
7)
(−2)4
8)
9)
−23 + 1
10) −52 (−3)
(−2)2 (−3)2
11) −17 (−3)(2)
12) (−9)2 (−1)5
13) (−3)3 + (−1)2
14) (−5)3 • (−2)
15) (−2) − 52
22
16)
(−6)2
4
_________
110,
-81
_________
Substitute the values and solve the problem.
x = -2
y=4
17)
x3 • x4
18)
−3y 3
19)
3z 2
20)
1 3
y
2
21)
2z 2 − 7
22)
8x 2 y 0
23)
1
52x 0
24)
1
4x 3
26)
3x y
25)
z y − 15
z = -1