Powers of fractions and negative numbers

Answer Key - Grade 7 Math Worksheet - Building Confidence

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

1. 1.

   3/4 × 3/4. Esme wonders about (3/4)². The strip shows 2 squares, and each square holds 3/4. What is (3/4)²?

   9/16
2. 2.

   Kira wonders about (3/5)². The strip shows 2 squares, and each square holds 3/5. What is (3/5)²?

   9/25
3. 3.

   Luz wonders about (1/3)³. The strip shows 3 squares, and each square holds 1/3. What is (1/3)³?

   1/27
4. 4.

   (-2) × (-2) × (-2). Milo writes (−2)³ on a card. The strip shows 3 squares, and each square holds −2. What is (−2)³?

   -8
5. 5.

   (−5) × (−5). Pia writes (−5)² on a card. The strip shows 2 squares, and each square holds −5. What is (−5)²?

   25
6. 6.

   Ren writes (−3)³ on a card. The strip shows 3 squares, and each square holds −3. What is (−3)³?

   -27
7. 7.

   Tala multiplies 4 copies of −6, which is (−6)⁴. Is the answer positive or negative?

   • Negative
   • Zero
   • Positive
8. 8.

   Zee multiplies 7 copies of −2, which is (−2)⁷. Is the answer positive or negative?

   • Positive
   • Negative
   • Zero
9. 9.

   Ari multiplies 5 copies of −9, which is (−9)⁵. Is the answer positive or negative?

   • Positive
   • Negative
   • Zero
10. 10.

    Bo multiplies 10 copies of −1, which is (−1)^10. Is the answer positive or negative?

    • Positive
    • Negative
    • Zero