9th Grade Laws of Exponents Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the 9th Grade exponents & scientific notation worksheet.
9th Grade Laws of Exponents Worksheet — Level 1 — Answers
Use the laws of exponents. Write answers with positive exponents.
1.Simplify: x8 × x2
Answer: x10
Add the exponents: 8 + 2 = 10
2.Simplify: x9 ÷ x6
Answer: x3
Subtract the exponents: 9 − 6 = 3
3.Simplify: x12 ÷ x8
Answer: x4
Subtract the exponents: 12 − 8 = 4
4.Simplify: x6 × x6
Answer: x12
Add the exponents: 6 + 6 = 12
5.Simplify: x5 ÷ x4
Answer: x1
Subtract the exponents: 5 − 4 = 1
6.Simplify: x2 × x3
Answer: x5
Add the exponents: 2 + 3 = 5
7.Simplify: x8 ÷ x7
Answer: x1
Subtract the exponents: 8 − 7 = 1
8.Simplify: x10 ÷ x8
Answer: x2
Subtract the exponents: 10 − 8 = 2
9.Simplify: x5 ÷ x3
Answer: x2
Subtract the exponents: 5 − 3 = 2
10.Simplify: x5 × x5
Answer: x10
Add the exponents: 5 + 5 = 10
11.Simplify: x5 × x2
Answer: x7
Add the exponents: 5 + 2 = 7
12.Simplify: x6 × x9
Answer: x15
Add the exponents: 6 + 9 = 15
13.Simplify: x9 × x4
Answer: x13
Add the exponents: 9 + 4 = 13
14.Simplify: x4 × x5
Answer: x9
Add the exponents: 4 + 5 = 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.