Year 8 Maths — Exponents and powers
Work out powers and use the laws of exponents to simplify them.
Name: ________________________
1.Write 2⁵ ÷ 2³ as a power of 2.
- a) 2⁸
- b) 2¹⁵
- c) 2
- d) 2²
2.Work out 2⁵ ÷ 2³ as an ordinary number.
3.Work out each one, then sort it by its value.
Groups: Equals 8 · Equals 16
- 4²
- 8¹
- 2³
- 2 × 4
- 2⁴
- 16¹
4.Simplify a⁵ × a³.
- a) a¹⁵
- b) 2a⁸
- c) a⁸
- d) a²
5.What is 3⁰?
6.What is 10⁴?
7.Simplify (2³)².
- a) 2⁶
- b) 2¹
- c) 2⁵
- d) 2⁹
8.What is 2³ (two to the power 3)?
Answer key — Year 8 Maths — Exponents and powers
- 1. d) 2²
- 2. 4
- 3. 2³ → Equals 8; 2⁴ → Equals 16; 8¹ → Equals 8; 4² → Equals 16; 2 × 4 → Equals 8; 16¹ → Equals 16
- 4. c) a⁸
- 5. 1
- 6. 10000
- 7. a) 2⁶
- 8. 8