10th Grade Laws of Exponents Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 10th Grade exponents & scientific notation worksheet.
Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Indices & Scientific Notation10th Grade Laws of Exponents Worksheet — Level 3 — Practice Set 4 — Answers
Use the laws of exponents. Write answers with positive exponents.
Answer:
A negative index means the reciprocal: 1 ÷ 101 = 1 ÷ 10
Answer: x28
Multiply the exponents: 7 × 4 = 28
Answer: 1
Anything (except 0) to the power of 0 equals 1.
Answer: 10x10
5 × 2 = 10; add the exponents: 10
Answer:
A negative index means the reciprocal: 1 ÷ 33 = 1 ÷ 27
Answer: x8
Multiply the exponents: 4 × 2 = 8
Answer: 12x7
3 × 4 = 12; add the exponents: 7
Answer: 9x12
3 × 3 = 9; add the exponents: 12
Answer:
A negative index means the reciprocal: 1 ÷ 102 = 1 ÷ 100
Answer: 1
Anything (except 0) to the power of 0 equals 1.
Answer: x40
Multiply the exponents: 5 × 8 = 40
Answer:
A negative index means the reciprocal: 1 ÷ 21 = 1 ÷ 2
Answer: x36
Multiply the exponents: 6 × 6 = 36
Answer: x32
Multiply the exponents: 8 × 4 = 32
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.