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.

   Luz's robot screen shows 2^-4 ÷ 2^-9 = 2^?. What is the missing exponent?

   5
4. 4.

   Milo's worksheet shows 4^6 ÷ 4^-3 = 4^?. What is the missing exponent?

   9
5. 5.

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

   -6
6. 6.

   Zee's worksheet asks for 4^3 × 4^-7 as one power. How do you write 4^3 × 4^-7 as a single power of 4?

   4^-4
7. 7.

   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
8. 8.

   Esme's worksheet asks for (1/3)^-2 × (1/3)^5 as one power. How do you write it as a single power of (1/3)?

   (1/3)^3
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