Negative exponents and the laws of exponents

Answer Key - Grade 8 Math Worksheet - Challenge Me

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

1. 1.

   Jun's padlock tag shows (2^-3)^2 ÷ 2^4 = 2^?. It is the trickiest padlock yet. What is the missing exponent?

   -10
2. 2.

   Luz's puzzle card shows (3^2)^-3 × 3^4 = 3^?. What is the missing exponent?

   -2
3. 3.

   Milo's worksheet shows 2^7 ÷ (2^-2)^2 = 2^?. What is the missing exponent?

   11
4. 4.

   Noah's robot screen shows 6^0 × 2^-3. What is its value?

   1/8
5. 5.

   Pia's worksheet shows 8^0 ÷ 2^-4. What is its value?

   16
6. 6.

   In math club, Tala meets (3/4)^-2. What is the value of (3/4)^-2?

   16/9
7. 7.

   In math club, Ari meets (2/5)^-2. What is the value of (2/5)^-2?

   25/4
8. 8.

   Bo meets (2^-3)^-2 × 2^-9 in math club. How do you write it as a single power of 2?

   2^-3
9. 9.

   Esme meets (5^4 × 5^-6)^-2 in math club. How do you write it as a single power of 5?

   5^4
10. 10.

    Jun meets (3/5)^-4 ÷ (3/5)^-1 in math club. How do you write it as a single power of (3/5)?

    (3/5)^-3