Åk 6–9
  • Start
  • 1. Welcome to Operators and Calculation Rules
  • 2. Addition and Subtraction
  • 3. Multiplication And Division
  • 4. Factorization
  • 5. Setting Up Calculations
  • 6. Powers
  • 7. Square Roots
  • 8. Mathematical Rules
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    English/Русский
    6.9 Exercises - Powers
    1. Write the following products as powers.  Which alternative is correct?
    Ex: 2 · 2 · 2 · 2
      24 or 42?
      Answer: 24 (can even be written: 2^4)
    a) 6 · 6 · 6 · 6 · 6 · 6 · 6
      76 or 67?
     
    b) 3 · 3 · 3 · 3
      34 or 43?
     
    c) 5 · 5 · 5
      35 or 53?
     
    d) 2 · 2 · 2 · 2 · 2
      52 or 25?
     
    e) 8 · 8 · 8 · 8 · 8 · 8 · 8 · 8 · 8
      89 or 98?
     
     
    		 
    2. Write the following powers as a product.
    Ex: 23 = 2 · 2 · 2
    a) 37
     
    b) 43
     
    c) 26
     
    d) 74
     
    e) 92
     
     
    		 
    3. Write the following powers of ten as a whole number.
    Ex: 102 = 100
    a) 109
     
    b) 105
     
    c) 103
     
    d) 1012
     
    e) 107
     
     
    		 
    4. Which number corresponds to the expression?
    Ex: 8.1 · 102 = 810
    a) 1.7 · 105
     
    b) 3.7 · 103
     
    c) 4 · 10-3
     
    d) 2.3 · 106
     
    e) 7.45 · 10-2
     
     
    		 
    5. Calculation rules for power. Calculate.
    Ex: 24 · 53 = 16 · 125 = 2,000
    a) 23 + 52
     
    b) 62 - 42
     
    c) 34 + 25
     
    d) 22 · 52
     
    e) 25 ÷ 24
     
    f) 34 + 24
     
    g) 32 · 42
     
    h) 63 ÷ 23
     
    i) 34 ÷ 92
     
    j) 25 · 22