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, Esme meets (-3)^-2. What is the value of (-3)^-2?

   1/9
4. 4.

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

   5
5. 5.

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

   5
6. 6.

   Ren's worksheet shows (2^4)^-3 = 2^?. What is the missing exponent?

   -12
7. 7.

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

   5
8. 8.

   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
9. 9.

   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
10. 10.

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

    -7