DANEMATHICS
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Grade 8 · Exponents
The Laws of Exponents (Grade 8)
MEMORANDUM
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Mark
  / 16

Answer all questions. Show all your working — marks are awarded for method as well as the final answer. Teacher copy: accept any correct equivalent method.

  1. 1
    Simplify: 34 × 33
    (2)
    Add: 37✓✓ (2)
  2. 2
    Simplify: 78 ÷ 75
    (2)
    Subtract: 73✓✓ (2)
  3. 3
    Simplify: (53)2
    (2)
    Multiply: 56✓✓ (2)
  4. 4
    Simplify: (3y)4
    (2)
    81y4✓✓ (2)
  5. 5
    Calculate: 120
    (2)
    1✓✓ (2)
  6. 6
    Simplify: x5 × x2
    (2)
    x7✓✓ (2)
  7. 7
    Simplify: (22 × 25) ÷ 23
    (2)
    27 ÷ 23 = 24 = 16✓✓ (2)
  8. 8
    Simplify: (a3)2 × a
    (2)
    a6 × a1 = a7✓✓ (2)
TOTAL: 16 marks
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