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.

   Kira's robot screen shows 5^-2 × 5^6 ÷ 5^7 = 5^?. What is the missing exponent?

   -3
3. 3.

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

   -2
4. 4.

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

   11
5. 5.

   Ren's puzzle card shows (-5)^0 + 4^-1. What is its value?

   5/4
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, Zee meets (-1/2)^-3. What is the value of (-1/2)^-3?

   -8
8. 8.

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

   25/4
9. 9.

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

   2^-3
10. 10.

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

    5^4