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Grade 9 · Exponents
The Laws of Exponents: Complete Exam Guide
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Answer all questions. Show all your working — marks are awarded for method as well as the final answer.

  1. 1
    Simplify x4 · x3 (Law 1)
    (2)
  2. 2
    Simplify 3a2 · 4a5 (Law 1)
    (2)
  3. 3
    Simplify m8 ÷ m3 (Law 2)
    (2)
  4. 4
    Simplify 20x6 ⁄ 5x2 (Law 2)
    (2)
  5. 5
    Simplify (a3)2 (Law 3)
    (2)
  6. 6
    Simplify (2y4)3 (Law 4)
    (2)
  7. 7
    Simplify (3x2)2 (Law 4)
    (2)
  8. 8
    Evaluate 7x0 (Law 5)
    (2)
  9. 9
    Evaluate (5y)0 (Law 5)
    (2)
  10. 10
    Write 4x−2 with a positive exponent (Law 6)
    (2)
  11. 11
    Simplify (2x3)2 · x (combined)
    (2)
  12. 12
    Simplify (12a5b2) ⁄ (4a2b6) (combined)
    (2)
  13. 13
    Write 3 200 000 in scientific notation
    (2)
  14. 14
    Write 0,0007 in scientific notation
    (2)
TOTAL: 28 marks
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