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

   1/9
2. 2.

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

   -1/8
3. 3.

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

   -8
4. 4.

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

   9
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.

   Bo's worksheet asks for (8^-3)^2 as one power. How do you write (8^-3)^2 as a single power of 8?

   8^-6
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