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Evaluating Powers: Classroom Packet

Grade 8 Algebra: Evaluating Powers

Name: ______________________Date: ____________Score: ____ / 6

Level 1

Single powers

  1. 1. Evaluate:
    252^5
  2. 2. Evaluate:
    (−3)2(-3)^2
  3. 3. Evaluate:
    −32-3^2
  4. 4. Evaluate:
    10410^4
  5. 5. Evaluate:
    (12)3\left(\tfrac{1}{2}\right)^3
  6. 6. Evaluate:
    434^3

Answer Key

Level 1

  1. 1. 3232
  2. 2. 99
  3. 3. −9-9
  4. 4. 10 00010\,000
  5. 5. 18\dfrac{1}{8}
  6. 6. 6464

Grade 8 Algebra: Evaluating Powers

Name: ______________________Date: ____________Score: ____ / 6

Level 2

Powers with order of operations

  1. 1. Evaluate:
    23+322^3 + 3^2
  2. 2. Evaluate:
    (−2)3⋅5(-2)^3 \cdot 5
  3. 3. Evaluate:
    52−425^2 - 4^2
  4. 4. Evaluate:
    3⋅243 \cdot 2^4
  5. 5. Evaluate:
    (2+3)2(2 + 3)^2
  6. 6. Evaluate:
    6232\dfrac{6^2}{3^2}

Answer Key

Level 2

  1. 1. 1717
  2. 2. −40-40
  3. 3. 99
  4. 4. 4848
  5. 5. 2525
  6. 6. 44

Grade 8 Algebra: Evaluating Powers

Name: ______________________Date: ____________Score: ____ / 6

Level 3

Variables and negative exponents

  1. 1. Evaluate for x = 3:
    x3−2xx^3 - 2x
  2. 2. Evaluate for a = -2, b = 5:
    a2ba^2b
  3. 3. Evaluate:
    (−1)25(-1)^{25}
  4. 4. Evaluate:
    (23)224\dfrac{(2^3)^2}{2^4}
  5. 5. Evaluate:
    3−2+303^{-2} + 3^0
  6. 6. Evaluate for x = 4:
    x−2x^{-2}

Answer Key

Level 3

  1. 1. 2121
  2. 2. 2020
  3. 3. −1-1
  4. 4. 44
  5. 5. 109\dfrac{10}{9}
  6. 6. 116\dfrac{1}{16}