L5 · Expressions with exponents

1. 1.

   Evaluate 2^2.

   Answer. 4

   2^2 means 2 × 2 = 4.

2. 2.

   Evaluate 5² + 4.

   Answer. 29

   5² = 25, then 25 + 4 = 29.

3. 3.

   Evaluate 2^2 × 3.

   Answer. 12

   2^2 = 4, then 4 × 3 = 12.

4. 4.

   Evaluate 3^3.

   Answer. 27

   3^3 means 3 × 3 × 3 = 27.

5. 5.

   Evaluate 3² + 5. Then Priya needs 2 of that amount. What is the total they need?

   Answer. 28

   3² = 9, then 9 + 5 = 14. Then multiply by 2: 28.

6. 6.

   Evaluate 2^4 × 3. Then Luis needs 4 of that amount. What is the total they need?

   Answer. 192

   2^4 = 16, then 16 × 3 = 48. Then multiply by 4: 192.

7. 7.

   Evaluate 2^2. Then Malik needs 4 of that amount. What is the total they need?

   Answer. 16

   2^2 means 2 × 2 = 4. Then multiply by 4: 16.

8. 8.

   Evaluate 3² + 8. Then Nora needs 5 of that amount. What is the total they need?

   Answer. 85

   3² = 9, then 9 + 8 = 17. Then multiply by 5: 85.

9. 9.

   Evaluate 2^2 × 3. Then Luis needs 2 of that amount. What is the total they need?

   Answer. 24

   2^2 = 4, then 4 × 3 = 12. Then multiply by 2: 24.

10. 10.

    Evaluate 3^2. Then Priya needs 5 of that amount. What is the total they need?

    Answer. 45

    3^2 means 3 × 3 = 9. Then multiply by 5: 45.

11. 11.

    Think

    Mei tried this problem:
    Evaluate 6² + 1.
    Mei wrote -37. That is not correct. What is the right answer?

    Answer. 37

    Mei’s answer -37 is off. 6² = 36, then 36 + 1 = 37.

12. 12.

    Think

    Ava tried this problem:
    Evaluate 2^2 × 3.
    Ava wrote 13. That is not correct. What is the right answer?

    Answer. 12

    Ava’s answer 13 is off. 2^2 = 4, then 4 × 3 = 12.

Original extra practice. Keys are computed from the items, not guessed.