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.

   Luz checks a negative fraction on a card. What is (−1/4)³?

   -1/64
3. 3.

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

   16/9
4. 4.

   Noah squares a negative fraction for a quiz. What is (−5/6)²?

   25/36
5. 5.

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

   • −3² is greater
   • (−3)² is greater
   • They are equal, as the bracket makes no difference
6. 6.

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

   • They are equal
   • (−2)⁴ is greater
   • −2⁴ is greater
7. 7.

   (−5)³ and −5³. Tala compares two powers, and the pencil suspects a trick. Which statement is true?

   • (−5)³ is greater
   • They are equal
   • −5³ is greater
8. 8.

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

   9
9. 9.

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

   13
10. 10.

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

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