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Zero and Negative Exponents: Classroom Packet

Grade 8 Algebra: Zero and Negative Exponents

Name: ______________________Date: ____________Score: ____ / 6

Level 1

Evaluate

  1. 1. Evaluate:
    707^0
  2. 2. Evaluate:
    (−4)0(-4)^0
  3. 3. Evaluate:
    2−32^{-3}
  4. 4. Evaluate:
    5−15^{-1}
  5. 5. Evaluate:
    10−210^{-2}
  6. 6. Evaluate:
    3−23^{-2}

Answer Key

Level 1

  1. 1. 11
  2. 2. 11
  3. 3. 18\dfrac{1}{8}
  4. 4. 15\dfrac{1}{5}
  5. 5. 1100\dfrac{1}{100}
  6. 6. 19\dfrac{1}{9}

Grade 8 Algebra: Zero and Negative Exponents

Name: ______________________Date: ____________Score: ____ / 6

Level 2

Write with positive exponents

  1. 1. Write with positive exponents:
    x−4x^{-4}
  2. 2. Write with positive exponents:
    3a−23a^{-2}
  3. 3. Write with positive exponents:
    1y−5\dfrac{1}{y^{-5}}
  4. 4. Write with positive exponents:
    m−3n2m^{-3}n^2
  5. 5. Evaluate:
    (2x)0+3(2x)^0 + 3
  6. 6. Evaluate:
    4−2⋅434^{-2} \cdot 4^3

Answer Key

Level 2

  1. 1. 1x4\dfrac{1}{x^4}
  2. 2. 3a2\dfrac{3}{a^2}
  3. 3. y5y^5
  4. 4. n2m3\dfrac{n^2}{m^3}
  5. 5. 44
  6. 6. 44

Grade 8 Algebra: Zero and Negative Exponents

Name: ______________________Date: ____________Score: ____ / 6

Level 3

Simplify fully

  1. 1. Simplify:
    x5⋅x−8x^5 \cdot x^{-8}
  2. 2. Simplify:
    a−2a4\dfrac{a^{-2}}{a^4}
  3. 3. Simplify:
    (2x−3)2(2x^{-3})^2
  4. 4. Simplify:
    12y−24y−5\dfrac{12y^{-2}}{4y^{-5}}
  5. 5. Simplify:
    (m−2n3)−2(m^{-2}n^3)^{-2}
  6. 6. Simplify:
    (3x2y−1)0⋅x−2(3x^2y^{-1})^0 \cdot x^{-2}

Answer Key

Level 3

  1. 1. 1x3\dfrac{1}{x^3}
  2. 2. 1a6\dfrac{1}{a^6}
  3. 3. 4x6\dfrac{4}{x^6}
  4. 4. 3y33y^3
  5. 5. m4n6\dfrac{m^4}{n^6}
  6. 6. 1x2\dfrac{1}{x^2}