8th Grade Laws of Exponents Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 8th Grade exponents & scientific notation worksheet.
8th Grade Laws of Exponents Worksheet — Level 3 — Practice Set 2 — Answers
Use the laws of exponents. Write answers with positive exponents.
Answer: 12x14
3 × 4 = 12; add the exponents: 14
Answer:
A negative index means the reciprocal: 1 ÷ 53 = 1 ÷ 125
Answer:
A negative index means the reciprocal: 1 ÷ 22 = 1 ÷ 4
Answer:
A negative index means the reciprocal: 1 ÷ 102 = 1 ÷ 100
Answer:
A negative index means the reciprocal: 1 ÷ 103 = 1 ÷ 1000
Answer: x27
Multiply the exponents: 9 × 3 = 27
Answer: 10x14
2 × 5 = 10; add the exponents: 14
Answer: 25x8
5 × 5 = 25; add the exponents: 8
Answer: x36
Multiply the exponents: 4 × 9 = 36
Answer: x8
Multiply the exponents: 2 × 4 = 8
Answer: 1
Anything (except 0) to the power of 0 equals 1.
Answer:
A negative index means the reciprocal: 1 ÷ 21 = 1 ÷ 2
Answer: x18
Multiply the exponents: 9 × 2 = 18
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.
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