Powers of fractions and negative numbers

Grade 7 Math Worksheet

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

  1. Esme finds a power in a math book. What is (4/5)²?

  2. Jun checks a power on a card, and the card looks smug. What is (2/3)⁴?

  3. Kira tries a power with an improper fraction. What is (5/2)²?

  4. Milo tries a power with a negative base. What is (−4)³?

  5. Noah multiplies a negative number by itself. What is (−7)²?

  6. Pia raises a negative number to the fifth power on a card. What is (−3)⁵?

  7. Zee reads −3⁴ with no bracket on a quiz. What is −3⁴?

  8. Bo's bouncy ball keeps 4/5 of its height on each bounce, and it bounces 3 times. It ends at (4/5)³ of its first height. What fraction is that?

  9. Esme folds a paper in half 4 times. Each layer is (1/2)⁴ of the sheet. What fraction is that?

  10. Jun's lemonade gets 3/10 as strong with each water refill, and it is refilled 2 times, so it is (3/10)² as strong. What fraction is that?

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Powers of fractions and negative numbers

Answer Key - Grade 7 Math Worksheet

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

  1. Esme finds a power in a math book. What is (4/5)²?

    16/25
  2. Jun checks a power on a card, and the card looks smug. What is (2/3)⁴?

    16/81
  3. Kira tries a power with an improper fraction. What is (5/2)²?

    25/4
  4. Milo tries a power with a negative base. What is (−4)³?

    -64
  5. Noah multiplies a negative number by itself. What is (−7)²?

    49
  6. Pia raises a negative number to the fifth power on a card. What is (−3)⁵?

    -243
  7. Zee reads −3⁴ with no bracket on a quiz. What is −3⁴?

    -81
  8. Bo's bouncy ball keeps 4/5 of its height on each bounce, and it bounces 3 times. It ends at (4/5)³ of its first height. What fraction is that?

    64/125
  9. Esme folds a paper in half 4 times. Each layer is (1/2)⁴ of the sheet. What fraction is that?

    1/16
  10. Jun's lemonade gets 3/10 as strong with each water refill, and it is refilled 2 times, so it is (3/10)² as strong. What fraction is that?

    9/100