Rewriting Using the Laws of Exponents - Use the law of exponents to rewrite each problem

Sep 30, 2026

Rewriting Using the Laws of Exponents worksheet provides 20 practice problems requiring students to rewrite expressions using exponent rules. Items include multiplication and power patterns, quotient forms, and negative or fractional exponent cases, such as products like 36×38, powers like (8×3)^9, and reciprocals like (1/7)^8. An answer key accompanies the set, showing the correct rewritten forms for each problem.

LanguageEnglish

CategoryExam

FormatPDF

Pages3

Reading Time8 min

AccessFree to download

Use the law of exponents to rewrite each problem

Problems 1-10

Problems 11-20

Answer key

Rewriting Using the Laws of Exponents Name: Use the law of exponents to rewrite each problem. 1) 36 × 38 = 2) 30 = 3) 73 × 7-6 = 4) 7-2 = 5) (8 × 3)9 = 6) (48)2 = 7) 81 = 8) ( 1⁄7 )8 = 9) 53 × 5-2 = 10) ( 1⁄4 )8 = 11) 7-7 = 12) (8 × 6)9 = 13) (48)7 = 14) 41 = 15) 80 = 16) 63 × 69 = 17) 38 × 37 = 18) (6 5)3 = 19) 85 × 8-5 = 20) ( 1⁄5 )3 = Answers 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. Math [www.CommonCoreSheets.com](www.CommonCoreSheets.com) 1 1-10 11-20 95 45 90 40 85 35 80 30 75 25 70 20 65 15 60 10 55 5 50 0 Rewriting Using the Laws of Exponents Name: Answer Key | Use the law of exponents to rewrite each problem.
1) 36 × 38 = 36 + 8 2) 30 = 1
3) 73 × 7-6 = 73-6 4) 7-2 = 1⁄72
5) (8 × 3)9 = 89 × 39 6) (48)2 = 48 × 2
7) 81 = 8 8) ( 1⁄7 )8 = 1⁄78
9) 53 × 5-2 = 53-2 10) ( 1⁄4 )8 = 1⁄48
11) 7-7 = 1⁄77 12) (8 × 6)9 = 89 × 69
13) (48)7 = 48 × 7 14) 41 = 4
15) 80 = 1 16) 63 × 69 = 63 + 9
17) 38 × 37 = 38 + 7 18) (6 5)3 = 65 × 3
19) 85 × 8-5 = 85-5 20) ( 1⁄5 )3 = 1⁄53 | Answers
6 + 8
1. 3
2. 1
3. 73-6 1⁄
4. 72
9 9
5. 8 × 3
6. 48 × 2
7. 8 1⁄
8. 78
3-2
9. 5 1⁄ 8
10. 4 1
11. ⁄77
9 9
12. 8 × 6
8 × 7
13. 4 14. 4
15. 1
3 + 9
16. 6
8 + 7
17. 3
18. 65 × 3
5-5
19. 8
20. 1⁄53 | | --- | --- | Math [www.CommonCoreSheets.com](www.CommonCoreSheets.com) 1 1-10 11-20 95 45 90 40 85 35 80 30 75 25 70 20 65 15 60 10 55 5 50 0 Rewriting Using the Laws of Exponents Name: | Use the law of exponents to rewrite each problem. | | | | | | | | | | Answers | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 1)
3) | 36 × 38 = 2) 30 =
73 × 7-6 = 4) 7-2 = | | | | | | | | | 1.
2.
3.
4. | | | | | | | | 5) | (8 × 3)9 = | | 6) (48)2 = | | | | | | | 5.
6.
7. | | | | | | | | 7)
9) | 81 = 8) ( 1⁄7 )8
53 × 5-2 = 10) ( 1⁄4 )8 | | | =
= | | | | | | 8.
9.
10.
11.
12. | | | | | | | | | | | | | | | | | | | | | | | | | | 11) | 7-7 = 12) (8 × 6)9 | | | =
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Math | Modified
[www.CommonCoreSheets.com](www.CommonCoreSheets.com) | | 1 | 1-10
11-12 | 92 | 83 | 75 | 67 | | 58 | 50 | 42 | 33 | 25 | 17 | | | | | | | | 8 | 0 | | | | | | | | | |

FAQs

What should students do with each problem in this worksheet?

Use the laws of exponents to rewrite each given expression into an equivalent form.

Does the worksheet include fraction and negative exponent examples?

Yes. Problems include reciprocal forms like (1/7)^8 and exponent expressions that require applying negative or inverse exponent rules.

Is an answer key provided?

Yes. The document includes an answer key listing the correct rewritten results for problems 1 through 20.

Sep 30, 2026

Uploaded by Lucas Martin