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Cambridge Mathematics 9: Integers, powers and roots

10 questions with solutions on the Cambridge Mathematics 9 topic: negative indices, laws of indices, standard form, roots, HCF and LCM.

Type the number or choose the right answer. When you finish, click Check answers and see the solutions.

1. 2⁻³ = ?

2. (3²)³ = 3ⁿ. What is n?

3. 5⁷ : 5⁴ = 5ⁿ. What is n?

4. Write 45 000 in standard form.

5. Write 3.2 × 10⁻³ as an ordinary number.

6. (2 × 10³) · (4 × 10⁵) = ?

7. √144 + ∛(−8) = ?

8. Between which two consecutive whole numbers is √50?

9. Highest common factor: HCF(24, 36) = ?

10. Lowest common multiple: LCM(12, 18) = ?