Negative exponents and the laws of exponents

Answer Key - Grade 8 Math Worksheet - Building Confidence

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

1. 1.

   Bo's puzzle card shows 3^-2, with its strip written out below. What is the value of 3^-2?

   1/9
2. 2.

   Esme's padlock tag shows 4^-2, with its strip written out below. What is the value of 4^-2?

   1/16
3. 3.

   Jun's worksheet shows 7^-2. What is its value?

   1/49
4. 4.

   Kira's math book shows 2^-5. What is its value?

   1/32
5. 5.

   Luz's worksheet shows 3^-3. What is its value?

   1/27
6. 6.

   Milo's padlock tag shows 7^8 × 7^-3 = 7^?, with the strips drawn. What is the missing exponent?

   5
7. 7.

   Noah's robot screen shows 6^-4 × 6^9 = 6^?, with the strips drawn. What is the missing exponent?

   5
8. 8.

   Ren's math book shows 4^2 ÷ 4^5 = 4^?, with the strips drawn. What is the missing exponent?

   -3
9. 9.

   Tala's worksheet shows 6^3 ÷ 6^7 = 6^?, with the strips drawn. What is the missing exponent?

   -4
10. 10.

    Zee's padlock tag shows 9^1 ÷ 9^3 = 9^?, with the strips drawn. What is the missing exponent?

    -2