← Lesson📄 Worksheet✅ Memo📝 Exam test🗝️ Marking guide
∑ DANEMATHICS
FREE CAPS MATHS RESOURCES
Grade 8 · Exponents
The Laws of Exponents (Grade 8)
MEMORANDUM
Name: 
Class: 
Date: 
Mark
  / 11

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
    (1)
    Add: 37✓ (1)
  2. 2
    Simplify: 78 ÷ 75
    (1)
    Subtract: 73✓ (1)
  3. 3
    Simplify: (53)2
    (1)
    Multiply: 56✓ (1)
  4. 4
    Simplify: (3y)4
    (2)
    81y4✓✓ (2)
  5. 5
    Calculate: 120
    (1)
    1✓ (1)
  6. 6
    Simplify: x5 × x2
    (1)
    x7✓ (1)
  7. 7
    Simplify: (22 × 25) ÷ 23
    (2)
    27 ÷ 23 = 24 = 16✓✓ (2)
  8. 8
    Simplify: (a3)2 × a
    (2)
    a6 × a1 = a7✓✓ (2)
TOTAL: 11 marks
© Danemathics — free to print and share for classroom use.danemathics.com

Printing this sheet

  1. In the print dialog open More settings and untick “Headers and footers” — that is what prints the date, time and web address in the margin.
  2. Leave Pages per sheet on 1 so learners keep the full writing space.
  3. Choose Save as PDF as the destination to download it instead of printing.