10th Grade Laws of Exponents Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 10th Grade exponents & scientific notation worksheet.
10th Grade Laws of Exponents Worksheet — Level 3 — Practice Set 3 — Answers
Use the laws of exponents. Write answers with positive exponents.
Answer: 6x10
3 × 2 = 6; add the exponents: 10
Answer: 25x9
5 × 5 = 25; add the exponents: 9
Answer:
A negative index means the reciprocal: 1 ÷ 53 = 1 ÷ 125
Answer: x40
Multiply the exponents: 5 × 8 = 40
Answer: x64
Multiply the exponents: 8 × 8 = 64
Answer: x9
Multiply the exponents: 3 × 3 = 9
Answer: x21
Multiply the exponents: 7 × 3 = 21
Answer: x14
Multiply the exponents: 2 × 7 = 14
Answer:
A negative index means the reciprocal: 1 ÷ 33 = 1 ÷ 27
Answer: 1
Anything (except 0) to the power of 0 equals 1.
Answer: x36
Multiply the exponents: 4 × 9 = 36
Answer: 8x15
4 × 2 = 8; add the exponents: 15
Answer: 8x8
4 × 2 = 8; add the exponents: 8
Answer: 1
Anything (except 0) to the power of 0 equals 1.
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.