Powers of fractions and negative numbers

Answer Key - Grade 7 Math Worksheet - Challenge Me

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

1. 1.

   Kira cubes a negative fraction for a puzzle. What is (−2/3)³?

   -8/27
2. 2.

   Milo squares an improper negative fraction. What is (−4/3)²?

   16/9
3. 3.

   (−3)² and −3². Pia compares two powers that look almost the same. Which statement is true?

   • They are equal, as the bracket makes no difference
   • −3² is greater
   • (−3)² is greater
4. 4.

   (−2)⁴ and −2⁴. Ren compares two more powers (one has a bracket, one does not). Which statement is true?

   • (−2)⁴ is greater
   • They are equal
   • −2⁴ is greater
5. 5.

   Ari adds two powers for a puzzle. What is (2/3)² + (−1/3)³?

   11/27
6. 6.

   Bo adds a negative power and a positive power. What is (−2)³ + 3²?

   1
7. 7.

   Esme multiplies a power by a whole number. What is (3/4)² × 16?

   9
8. 8.

   Jun subtracts a negative power. What is 5 − (−2)³?

   13
9. 9.

   Kira wants an expression that equals −27. Which one works?

   • (−3)²
   • (−3)³
   • −3²
   • 3³
10. 10.

    Luz wants an expression that equals 16. Which one works?

    • (−2)³
    • 2³
    • (−2)⁴
    • −2⁴