L20 · Exponent properties for all integers

1. 1.

   Evaluate 5^{−3}. Write as a fraction.

   Answer. 1125

   5^{−3} = 15^3 = 1125.

2. 2.

   Evaluate 10^0.

   Answer. 1

   Any nonzero number to the power 0 is 1.

3. 3.

   Evaluate 3^{−3}. Write as a fraction.

   Answer. 127

   3^{−3} = 13^3 = 127.

4. 4.

   Evaluate 10^0.

   Answer. 1

   Any nonzero number to the power 0 is 1.

5. 5.

   Evaluate 5^{−1}. Write as a fraction. Then Sam needs 5 of that amount. What is the total they need?

   Answer. 1

   5^{−1} = 15^1 = 15. Then multiply by 5: 1.

6. 6.

   Evaluate 10^0. Then Luis needs 5 of that amount. What is the total they need?

   Answer. 5

   Any nonzero number to the power 0 is 1. Then multiply by 5: 5.

7. 7.

   Evaluate 2^{−3}. Write as a fraction. Then Grace needs 5 of that amount. What is the total they need?

   Answer. 58

   2^{−3} = 12^3 = 18. Then multiply by 5: 58.

8. 8.

   Evaluate 10^0. Then Nora needs 3 of that amount. What is the total they need?

   Answer. 3

   Any nonzero number to the power 0 is 1. Then multiply by 3: 3.

9. 9.

   Evaluate 5^{−1}. Write as a fraction. Then Nora needs 2 of that amount. What is the total they need?

   Answer. 25

   5^{−1} = 15^1 = 15. Then multiply by 2: 25.

10. 10.

    Evaluate 10^0. Then Elena needs 4 of that amount. What is the total they need?

    Answer. 4

    Any nonzero number to the power 0 is 1. Then multiply by 4: 4.

11. 11.

    Think

    Nora tried this problem:
    Evaluate 4^{−2}. Write as a fraction.
    Nora wrote 117. That is not correct. What is the right answer?

    Answer. 116

    Nora’s answer 117 is off. 4^{−2} = 14^2 = 116.

12. 12.

    Think

    Mei tried this problem:
    Evaluate 10^0.
    Mei wrote -1. That is not correct. What is the right answer?

    Answer. 1

    Mei’s answer -1 is off. Any nonzero number to the power 0 is 1.

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