Lesson 4
NYS COMMON CORE MATHEMATICS CURRICULUM
8•1
Number Correct: ______
Applying Properties of Exponents to Generate Equivalent Expressions—Round 1
Directions: Simplify each expression using the laws of exponents. Use the least number of bases possible and only
positive exponents. All letters denote numbers.
1.
22 ∙ 23 =
23.
63 ∙ 62 =
2.
22 ∙ 24 =
24.
62 ∙ 63 =
3.
22 ∙ 25 =
25.
(−8)3 ∙ (−8)7 =
4.
37 ∙ 31 =
26.
(−8)7 ∙ (−8)3 =
5.
38 ∙ 31 =
27.
(0.2)3 ∙ (0.2)7 =
6.
39 ∙ 31 =
28.
(0.2)7 ∙ (0.2)3 =
7.
76 ∙ 72 =
29.
(−2)12 ∙ (−2)1 =
8.
76 ∙ 73 =
30.
(−2.7)12 ∙ (−2.7)1 =
9.
76 ∙ 74 =
31.
1.16 ∙ 1.19 =
10.
1115 ∙ 11 =
32.
576 ∙ 579 =
11.
1116 ∙ 11 =
33.
𝑥6 ∙ 𝑥9 =
12.
212 ∙ 22 =
34.
27 ∙ 4 =
13.
212 ∙ 24 =
35.
27 ∙ 42 =
14.
212 ∙ 26 =
36.
27 ∙ 16 =
15.
995 ∙ 992 =
37.
16 ∙ 43 =
16.
996 ∙ 993 =
38.
32 ∙ 9 =
17.
997 ∙ 994 =
39.
32 ∙ 27 =
18.
58 ∙ 52 =
40.
32 ∙ 81 =
19.
68 ∙ 62 =
41.
54 ∙ 25 =
20.
78 ∙ 72 =
42.
54 ∙ 125 =
21.
𝑟8 ∙ 𝑟2 =
43.
8 ∙ 29 =
22.
𝑠8 ∙ 𝑠2 =
44.
16 ∙ 29 =
Lesson 4:
Numbers Raised to the Zeroth Power
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org
This file derived from G8-M1-TE-1.3.0-07.2015
48
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
8•1
Lesson 4
NYS COMMON CORE MATHEMATICS CURRICULUM
Applying Properties of Exponents to Generate Equivalent Expressions—Round 1 [KEY]
Directions: Simplify each expression using the laws of exponents. Use the least number of bases possible and only
positive exponents. All letters denote numbers.
1.
22 ∙ 23 =
𝟐𝟓
23.
63 ∙ 62 =
𝟔𝟓
2.
22 ∙ 24 =
𝟐𝟔
24.
62 ∙ 63 =
𝟔𝟓
3.
22 ∙ 25 =
𝟐𝟕
25.
(−8)3 ∙ (−8)7 =
(−𝟖)𝟏𝟎
4.
37 ∙ 31 =
𝟑𝟖
26.
(−8)7 ∙ (−8)3 =
(−𝟖)𝟏𝟎
5.
38 ∙ 31 =
𝟑𝟗
27.
(0.2)3 ∙ (0.2)7 =
(𝟎. 𝟐)𝟏𝟎
6.
39 ∙ 31 =
𝟑𝟏𝟎
28.
(0.2)7 ∙ (0.2)3 =
(𝟎. 𝟐)𝟏𝟎
7.
76 ∙ 72 =
𝟕𝟖
29.
(−2)12 ∙ (−2)1 =
(−𝟐)𝟏𝟑
8.
76 ∙ 73 =
𝟕𝟗
30.
(−2.7)12 ∙ (−2.7)1 =
9.
76 ∙ 74 =
𝟕𝟏𝟎
31.
1.16 ∙ 1.19 =
𝟏. 𝟏𝟏𝟓
10.
1115 ∙ 11 =
𝟏𝟏𝟏𝟔
32.
576 ∙ 579 =
𝟓𝟕𝟏𝟓
11.
1116 ∙ 11 =
𝟏𝟏𝟏𝟕
33.
𝑥6 ∙ 𝑥9 =
𝒙𝟏𝟓
12.
212 ∙ 22 =
𝟐𝟏𝟒
34.
27 ∙ 4 =
𝟐𝟗
13.
212 ∙ 24 =
𝟐𝟏𝟔
35.
27 ∙ 42 =
𝟐𝟏𝟏
14.
212 ∙ 26 =
𝟐𝟏𝟖
36.
27 ∙ 16 =
𝟐𝟏𝟏
15.
995 ∙ 992 =
𝟗𝟗𝟕
37.
16 ∙ 43 =
𝟒𝟓
16.
996 ∙ 993 =
𝟗𝟗𝟗
38.
32 ∙ 9 =
𝟑𝟒
17.
997 ∙ 994 =
𝟗𝟗𝟏𝟏
39.
32 ∙ 27 =
𝟑𝟓
18.
58 ∙ 52 =
𝟓𝟏𝟎
40.
32 ∙ 81 =
𝟑𝟔
19.
68 ∙ 62 =
𝟔𝟏𝟎
41.
54 ∙ 25 =
𝟓𝟔
20.
78 ∙ 72 =
𝟕𝟏𝟎
42.
54 ∙ 125 =
𝟓𝟕
21.
𝑟8 ∙ 𝑟2 =
𝒓𝟏𝟎
43.
8 ∙ 29 =
𝟐𝟏𝟐
22.
𝑠8 ∙ 𝑠2 =
𝒔𝟏𝟎
44.
16 ∙ 29 =
𝟐𝟏𝟑
Lesson 4:
Numbers Raised to the Zeroth Power
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org
This file derived from G8-M1-TE-1.3.0-07.2015
(−𝟐. 𝟕)𝟏𝟑
49
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 4
NYS COMMON CORE MATHEMATICS CURRICULUM
8•1
Number Correct: ______
Improvement: ______
Applying Properties of Exponents to Generate Equivalent Expressions—Round 2
Directions: Simplify each expression using the laws of exponents. Use the least number of bases possible and only
positive exponents. All letters denote numbers.
1.
52 ∙ 53 =
23.
73 ∙ 72 =
2.
52 ∙ 54 =
24.
72 ∙ 73 =
3.
52 ∙ 55 =
25.
(−4)3 ∙ (−4)11 =
4.
27 ∙ 21 =
26.
(−4)11 ∙ (−4)3 =
5.
28 ∙ 21 =
27.
(0.2)3 ∙ (0.2)11 =
6.
29 ∙ 21 =
28.
(0.2)11 ∙ (0.2)3 =
7.
36 ∙ 32 =
29.
(−2)9 ∙ (−2)5 =
8.
36 ∙ 33 =
30.
(−2.7)5 ∙ (−2.7)9 =
9.
36 ∙ 34 =
31.
3.16 ∙ 3.16 =
10.
715 ∙ 7 =
32.
576 ∙ 576 =
11.
716 ∙ 7 =
33.
𝑧6 ∙ 𝑧6 =
12.
1112 ∙ 112 =
34.
4 ∙ 29 =
13.
1112 ∙ 114 =
35.
42 ∙ 29 =
14.
1112 ∙ 116 =
36.
16 ∙ 29 =
15.
235 ∙ 232 =
37.
16 ∙ 43 =
16.
236 ∙ 233 =
38.
9 ∙ 35 =
17.
237 ∙ 234 =
39.
35 ∙ 9 =
18.
137 ∙ 133 =
40.
35 ∙ 27 =
19.
157 ∙ 153 =
41.
57 ∙ 25 =
20.
177 ∙ 173 =
42.
57 ∙ 125 =
21.
𝑥7 ∙ 𝑥3 =
43.
211 ∙ 4 =
22.
𝑦7 ∙ 𝑦3 =
44.
211 ∙ 16 =
Lesson 4:
Numbers Raised to the Zeroth Power
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org
This file derived from G8-M1-TE-1.3.0-07.2015
50
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
8•1
Lesson 4
NYS COMMON CORE MATHEMATICS CURRICULUM
Applying Properties of Exponents to Generate Equivalent Expressions—Round 2 [KEY]
Directions: Simplify each expression using the laws of exponents. Use the least number of bases possible and only
positive exponents. All letters denote numbers.
1.
52 ∙ 53 =
𝟓𝟓
23.
73 ∙ 72 =
𝟕𝟓
2.
52 ∙ 54 =
𝟓𝟔
24.
72 ∙ 73 =
𝟕𝟓
3.
52 ∙ 55 =
𝟓𝟕
25.
(−4)3 ∙ (−4)11 =
(−𝟒)𝟏𝟒
4.
27 ∙ 21 =
𝟐𝟖
26.
(−4)11 ∙ (−4)3 =
(−𝟒)𝟏𝟒
5.
28 ∙ 21 =
𝟐𝟗
27.
(0.2)3 ∙ (0.2)11 =
(𝟎. 𝟐)𝟏𝟒
6.
29 ∙ 21 =
𝟐𝟏𝟎
28.
(0.2)11 ∙ (0.2)3 =
(𝟎. 𝟐)𝟏𝟒
7.
36 ∙ 32 =
𝟑𝟖
29.
(−2)9 ∙ (−2)5 =
(−𝟐)𝟏𝟒
8.
36 ∙ 33 =
𝟑𝟗
30.
(−2.7)5 ∙ (−2.7)9 =
9.
36 ∙ 3 =
𝟑𝟏𝟎
31.
3.16 ∙ 3.16 =
𝟑. 𝟏𝟏𝟐
10.
715 ∙ 7 =
𝟕𝟏𝟔
32.
576 ∙ 576 =
𝟓𝟕𝟏𝟐
11.
716 ∙ 7 =
𝟕𝟏𝟕
33.
𝑧6 ∙ 𝑧6 =
𝒛𝟏𝟐
12.
1112 ∙ 112 =
𝟏𝟏𝟏𝟒
34.
4 ∙ 29 =
𝟐𝟏𝟏
13.
1112 ∙ 114 =
𝟏𝟏𝟏𝟔
35.
42 ∙ 29 =
𝟐𝟏𝟑
14.
1112 ∙ 116 =
𝟏𝟏𝟏𝟖
36.
16 ∙ 29 =
𝟐𝟏𝟑
15.
235 ∙ 232 =
𝟐𝟑𝟕
37.
16 ∙ 43 =
𝟒𝟓
16.
236 ∙ 233 =
𝟐𝟑𝟗
38.
9 ∙ 35 =
𝟑𝟕
17.
237 ∙ 234 =
𝟐𝟑𝟏𝟏
39.
35 ∙ 9 =
𝟑𝟕
18.
137 ∙ 133 =
𝟏𝟑𝟏𝟎
40.
35 ∙ 27 =
𝟑𝟖
19.
157 ∙ 153 =
𝟏𝟓𝟏𝟎
41.
57 ∙ 25 =
𝟓𝟗
20.
177 ∙ 173 =
𝟏𝟕𝟏𝟎
42.
57 ∙ 125 =
𝟓𝟏𝟎
21.
𝑥7 ∙ 𝑥3 =
𝒙𝟏𝟎
43.
211 ∙ 4 =
𝟐𝟏𝟑
22.
𝑦7 ∙ 𝑦3 =
𝒚𝟏𝟎
44.
211 ∙ 16 =
𝟐𝟏𝟓
Lesson 4:
Numbers Raised to the Zeroth Power
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org
This file derived from G8-M1-TE-1.3.0-07.2015
(−𝟐. 𝟕)𝟏𝟒
51
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.