Comparing and Ordering Powers

Name: _______________________________
Date: _______________________________

Part A: Circle the Larger Value

1. 2³     or     3²
2. 4²     or     2⁵
3. 5²     or     3³
4. 10²     or     2¹⁰
5. 6²     or     4³
6. 7²     or     5³

Part B: Order from Smallest to Largest

7. 2⁴, 3³, 4², 5¹

______ , ______ , ______ , ______

8. 10², 2⁸, 5³, 3⁴

______ , ______ , ______ , ______

9. 6², 4³, 2⁶, 8²

______ , ______ , ______ , ______

10. 1⁵, 5¹, 3², 2³

______ , ______ , ______ , ______

Part C: Order from Largest to Smallest

11. 3⁴, 9², 2⁷, 6³

______ , ______ , ______ , ______

12. 2⁵, 4³, 8², 16¹

______ , ______ , ______ , ______

13. 7², 5³, 10², 3⁴

______ , ______ , ______ , ______

Part D: Challenge Questions

14. Which is greater: 2¹⁰ or 10²? Show your working.

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15. Place these in order from smallest to largest: 2⁶, 4³, 8²

______ , ______ , ______

What do you notice about these numbers? _______________________

16. Without calculating, explain how you know that 3⁵ is greater than 5³.

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