Negative exponents and the laws of exponents

Answer Key - Grade 8 Math Worksheet

Circle the best answer, or write your answer on the line.

1. 1.

   In math club, Ari meets (1/2)^-3. What is the value of (1/2)^-3?

   8
2. 2.

   In math club, Bo meets (2/3)^-2. What is the value of (2/3)^-2?

   9/4
3. 3.

   In math club, Jun meets (-2)^-3. What is the value of (-2)^-3?

   -1/8
4. 4.

   Kira's padlock tag shows 7^-3 × 7^-5 = 7^?. What is the missing exponent?

   -8
5. 5.

   Noah's puzzle card shows 6^-2 × 6^7 = 6^?. What is the missing exponent?

   5
6. 6.

   Pia's worksheet shows (5^-2)^3 = 5^?. What is the missing exponent?

   -6
7. 7.

   Tala's worksheet shows (6^-1)^-5 = 6^?. What is the missing exponent?

   5
8. 8.

   Ari's worksheet asks for 9^-2 ÷ 9^3 as one power. How do you write 9^-2 ÷ 9^3 as a single power of 9?

   9^-5
9. 9.

   Ari's padlock tag shows 9^-6 × 9^2 = 9^?. What is the missing exponent?

   -4
10. 10.

    Bo's robot screen shows 3^-2 ÷ 3^5 = 3^?. What is the missing exponent?

    -7