Comparing and Ordering Powers

Name: _______________________________
Date: _______________________________

Part A: Evaluate and Compare

Calculate the value of each power, then circle the larger number.

1. 2³ = ________ or 3² = ________ Larger: ________
2. 4² = ________ or 2⁴ = ________ Larger: ________
3. 5² = ________ or 3³ = ________ Larger: ________
4. 10² = ________ or 2⁵ = ________ Larger: ________

Part B: Order in Ascending Order (smallest to largest)

Evaluate each power, then write them in order from smallest to largest.

5. 2³, 3², 1⁵, 4²

________ < ________ < ________ < ________

6. 5², 2⁵, 3³, 10¹

________ < ________ < ________ < ________

7. 4², 2⁴, 1⁸, 3²

________ < ________ < ________ < ________

Part C: Order in Descending Order (largest to smallest)

Evaluate each power, then write them in order from largest to smallest.

8. 6², 2⁶, 4³, 3⁴

________ > ________ > ________ > ________

9. 10², 5³, 2⁷, 8²

________ > ________ > ________ > ________

Part D: Challenge

Without calculating, use your knowledge of powers to answer these questions.

10. Which is larger: 2¹⁰ or 10²? Explain your reasoning.

_______________________________________________________________

11. Arrange in order from smallest to largest: 7², 2⁷, 4⁴, 8²

________ < ________ < ________ < ________