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Grade 10 · Exponents, Equations and Inequalities
Laws of Exponents & Rational Exponents (Grade 10)
MEMORANDUM
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  / 22

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: x7 × x−3
    (1)
    x4✓ (1)
  2. 2
    Simplify: (2x3)4
    (2)
    16x12✓✓ (2)
  3. 3
    Calculate: 5−2
    (1)
    1/25✓ (1)
  4. 4
    Calculate: 91/2
    (1)
    3✓ (1)
  5. 5
    Calculate: 82/3
    (2)
    (∛8)² = 2² = 4✓✓ (2)
  6. 6
    Calculate: 272/3
    (2)
    (∛27)² = 3² = 9✓✓ (2)
  7. 7
    Calculate: 163/4
    (2)
    (∜16)³ = 2³ = 8✓✓ (2)
  8. 8
    Calculate: 16−3/4
    (2)
    1/8✓✓ (2)
  9. 9
    Simplify: (2x + 3)/2x
    (2)
    2³ = 8✓✓ (2)
  10. 10
    Solve: 2x = 64
    (2)
    64 = 26 → x = 6✓✓ (2)
  11. 11
    Solve: 3x + 1 = 27
    (2)
    x + 1 = 3 → x = 2✓✓ (2)
  12. 12
    Solve: 52x = 125
    (3)
    2x = 3 → x = 1,5✓✓✓ (3)
TOTAL: 22 marks
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