Comparing Powers and Standard Form

Name: _______________________________
Date: _______________________________

Part A: Write in Standard Form

Calculate the value of each power and write your answer in standard form.

1. 2³ = ________________
2. 5² = ________________
3. 3³ = ________________
4. 10² = ________________
5. 4² = ________________
6. 2⁴ = ________________
7. 6² = ________________
8. 3² = ________________

Part B: Compare the Powers

Use <, >, or = to compare each pair.

1. 2³ ________ 3²
2. 5² ________ 4²
3. 2⁴ ________ 4²
4. 3³ ________ 10²
5. 6² ________ 2⁴
6. 3² ________ 2³

Part C: Order from Smallest to Largest

Calculate each value, then write the powers in order from smallest to largest.

1. Order these: 2³, 3², 2⁴, 5²

________ < ________ < ________ < ________

2. Order these: 10², 6², 3³, 4²

________ < ________ < ________ < ________

3. Order these: 2⁵, 4², 3², 10¹

________ < ________ < ________ < ________

Part D: Challenge Questions

1. Which is larger: 2⁶ or 8²? ________________
2. Find two different powers that equal 16: ________ and ________
3. Which power equals 1000? ________________