9th Grade Laws of Exponents Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 9th Grade exponents & scientific notation worksheet.
9th Grade Laws of Exponents Worksheet — Level 1 — Practice Set 3 — Answers
Use the laws of exponents. Write answers with positive exponents.
1.Simplify: x9 × x5
Answer: x14
Add the exponents: 9 + 5 = 14
2.Simplify: x9 × x8
Answer: x17
Add the exponents: 9 + 8 = 17
3.Simplify: x9 ÷ x2
Answer: x7
Subtract the exponents: 9 − 2 = 7
4.Simplify: x5 × x3
Answer: x8
Add the exponents: 5 + 3 = 8
5.Simplify: x10 ÷ x7
Answer: x3
Subtract the exponents: 10 − 7 = 3
6.Simplify: x9 ÷ x7
Answer: x2
Subtract the exponents: 9 − 7 = 2
7.Simplify: x7 × x8
Answer: x15
Add the exponents: 7 + 8 = 15
8.Simplify: x10 ÷ x3
Answer: x7
Subtract the exponents: 10 − 3 = 7
9.Simplify: x7 × x9
Answer: x16
Add the exponents: 7 + 9 = 16
10.Simplify: x4 × x2
Answer: x6
Add the exponents: 4 + 2 = 6
11.Simplify: x9 ÷ x8
Answer: x1
Subtract the exponents: 9 − 8 = 1
12.Simplify: x3 × x2
Answer: x5
Add the exponents: 3 + 2 = 5
13.Simplify: x6 ÷ x2
Answer: x4
Subtract the exponents: 6 − 2 = 4
14.Simplify: x5 × x4
Answer: x9
Add the exponents: 5 + 4 = 9
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.