Lesson: Exponents
Practice Set: Evaluate exponents of negative numbers
Question 1:
Evaluate.
(-5)2 =
Question 2:
Evaluate.
(-5)1 =
Question 3:
Evaluate.
(-1)8 =
Question 4:
Evaluate.
(-6)2 =
Question 5:
Evaluate.
(-10)4 =
Practice Set: Evaluate expressions with exponents
Question 1:
Evaluate:
(-2)2 =
Question 2:
Evaluate:
-33 =
Question 3:
Evaluate:
-43 =
Question 4:
Evaluate:
(-5)3 =
Question 5:
Evaluate:
(-3)4 =
Practice Set: Apply order of operations with exponents of positive and negative numbers
Question 1:
12 + (-2)3 =
Question 2:
12 - 33 =
Question 3:
6 - (-6)2 =
Question 4:
(-3)3 + (-5)2 =
Question 5:
(7 - 3)2 =
Practice Set: Evaluate numbers with negative exponents
Question 1:
Evaluate:
6-2 =
Question 2:
Evaluate:
3-3 =
Question 3:
Evaluate:
2-2 =
Question 4:
Evaluate:
5-2 =
Question 5:
Evaluate:
4-2 =
Practice Set: Rewrite exponents in the denominator as negative exponents
Question 1:
Select the expression equivalent to the following:
(1⁄10)-5
105
1003
10-5
None of the above
Question 2:
Select the expression equivalent to the following:
10-2
102
2-10
(1⁄10)2
None of the above
Question 3:
Select the expression equivalent to the following:
(1⁄10)-5
101
1002
10-1
None of the above
Question 4:
Select the expression equivalent to the following:
(1⁄5)-4
54
45
4-5
None of the above
Question 5:
Select the expression equivalent to the following:
32
23
(1⁄3)-2
2-3
None of the above
Practice Set: Find negative exponents of fractions
Question 1:
(1⁄3)-4 =
Question 2:
(1⁄6)-3 =
Question 3:
(1⁄3)-5 =
Question 4:
(1⁄3)-2 =
Question 5:
(3⁄2)-2 =
Practice Set: Apply multiplication property of exponents
Question 1:
Rewrite the expression as a single term.
27 × 23
210
401
410
146
221
Question 2:
Rewrite the expression as a single term.
35 × 34
39
65
320
69
271
Question 3:
Rewrite the expression as a single term.
32 × 37
271
314
61
39
69
Question 4:
Rewrite the expression as a single term.
38 × 37
656
315
451
314
614
Question 5:
Rewrite the expression as a single term.
144 × 148
1412
2814
2812
1432
2816
Practice Set: Apply division property of exponents
Question 1:
Rewrite the expression as a single term.
1
216
210
44
102
Question 2:
Rewrite the expression as a single term.
1
244
124
62
121
Question 3:
Rewrite the expression as a single term.
57
103
35
53
253
Question 4:
Rewrite the expression as a single term.
35
53
103
253
59
Question 5:
Rewrite the expression as a single term.
122
127
1
1216
121
Practice Set: Apply multiplication, division and negative property of exponents
Question 1:
Select the expression that is equivalent to the following:
1⁄ 8
3
1⁄ 4
3
34
38
None of the above
Question 2:
Select the expression that is equivalent to the following:
1⁄ 2
8
82
1⁄ 8
8
88
None of the above
Question 3:
Select the expression that is equivalent to the following:
7-3 × 7-1
1⁄ 2
7
72
74
1⁄ 4
7
None of the above
Question 4:
Select the expression that is equivalent to the following:
27
1⁄ 2
7
1⁄ 3
2
32
None of the above
Question 5:
Select the expression that is equivalent to the following:
8-5 × 82
1⁄ 7
8
83
87
1⁄ 3
8
None of the above
Practice Set: Apply power property of exponents
Question 1:
Rewrite the expression as a single term.
(23)3
181
29
26
62
63
Question 2:
Rewrite the expression as a single term.
(22)2
44
42
23
22
24
Question 3:
Rewrite the expression as a single term.
(98)4
916
98
89
932
912
Question 4:
Rewrite the expression as a single term.
(102)6
810
108
2012
208
1012
Question 5:
Rewrite the expression as a single term.
(23)6
92
63
29
218
66
Practice Set: Apply power property of exponents to expressions larger than 1 term
Question 1:
Select the expression that is equivalent to the following:
(x3y2)3
x9 y6
x3 y5
x6 y6
x9 y5
x3 y6
Question 2:
Select the expression that is equivalent to the following:
(2x4)3
2x7
2x12
2x12
8x12
8x7
Question 3:
Select the expression that is equivalent to the following:
(2x5)4
8x9
16x20
8x20
2x9
2x20
Question 4:
Select the expression that is equivalent to the following:
(3x2)4
81x8
81x6
12x8
27x6
3x8
Question 5:
Select the expression that is equivalent to the following:
(a2b4)3
a6 b7
a5b12
a6b12
a2 b7
a5 b7
Practice Set: Simplify exponential expressions using power rule
Question 1:
Select the expression that is equivalent to the following:
x3 y6
(xy)6
xy6
(xy2)3
(x2y)3
None of the above
Question 2:
Select the expression that is equivalent to the following:
8x3y9
(2xy)3
(2xy3)3
(8xy)3
(8xy3)3
None of the above
Question 3:
Select the expression that is equivalent to the following:
9x2y4
(3xy2)2
(3x2y4)3
(9xy2)2
(9xy)2
None of the above
Question 4:
Select the expression that is equivalent to the following:
x5 y5
(xy)4
(xy)5
xy5
(x2y)3
None of the above
Question 5:
Select the expression that is equivalent to the following:
4x4y4
(2x2y2)2
(2xy)4
(4xy)4
(xy)4
None of the above
Practice Set: Cumulative exponent rule review
Question 1:
Select the expression that is equivalent to the following:
(22 × 2-5)3
1⁄ 9
2
29
21
1⁄ 1
2
None of the above
Question 2:
Select the expression that is equivalent to the following:
1⁄ 2
13
132
1314
1 ⁄ 14
13
None of the above
Question 3:
Select the expression that is equivalent to the following:
(4-2 × 4-1)-3
1⁄ 9
4
649
161
49
None of the above
Question 4:
Select the expression that is equivalent to the following:
410
1 ⁄ 21
4
421
1 ⁄ 10
4
None of the above
Question 5:
Select the expression that is equivalent to the following:
(23 × 2-6)2
1⁄ 1
2
25
1⁄ 6
2
26
None of the above
Correct Answers
Lesson: Exponents
Practice Set: Evaluate exponents of negative numbers
Question 1:
25
Question 2:
-5
Question 3:
1
Question 4:
36
Question 5:
10000
Practice Set: Evaluate expressions with exponents
Question 1:
4
Question 2:
-27
Question 3:
-64
Question 4:
-125
Question 5:
81
Practice Set: Apply order of operations with exponents of positive and negative numbers
Question 1:
4
Question 2:
-15
Question 3:
-30
Question 4:
-2
Question 5:
16
Practice Set: Evaluate numbers with negative exponents
Question 1:
.0277
Question 2:
.0370
Question 3:
.25
Question 4:
.04
Question 5:
.0625
Practice Set: Rewrite exponents in the denominator as negative exponents
Question 1:
MC4
Question 2:
MC2
Question 3:
MC4
Question 4:
MC2
Question 5:
MC1
Practice Set: Find negative exponents of fractions
Question 1:
81
Question 2:
216
Question 3:
243
Question 4:
9
Question 5:
.4444
Practice Set: Apply multiplication property of exponents
Question 1:
MC1
Question 2:
MC1
Question 3:
MC4
Question 4:
MC2
Question 5:
MC1
Practice Set: Apply division property of exponents
Question 1:
MC1
Question 2:
MC1
Question 3:
MC4
Question 4:
MC2
Question 5:
MC1
Practice Set: Apply multiplication, division and negative property of exponents
Question 1:
MC3
Question 2:
MC1
Question 3:
MC4
Question 4:
MC3
Question 5:
MC4
Practice Set: Apply power property of exponents
Question 1:
MC2
Question 2:
MC5
Question 3:
MC4
Question 4:
MC5
Question 5:
MC4
Practice Set: Apply power property of exponents to expressions larger than 1 term
Question 1:
MC1
Question 2:
MC4
Question 3:
MC2
Question 4:
MC1
Question 5:
MC3
Practice Set: Simplify exponential expressions using power rule
Question 1:
MC3
Question 2:
MC2
Question 3:
MC1
Question 4:
MC2
Question 5:
MC1
Practice Set: Cumulative exponent rule review
Question 1:
MC1
Question 2:
MC1
Question 3:
MC4
Question 4:
MC2
Question 5:
MC3