Order of operations with exponents

Lessons

• Introduction
  a)

  Powers VS. Exponents
  
  

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• 1.
  Calculate:
  a)

  $5{\left( { - 2} \right)^4}$
  
  
  b)

  $- 6\left( {{3^7}} \right)$
  
  
  c)

  $8{\left( 4 \right)^3}$
  
  
  d)

  $9\left( { - {4^2}} \right)$
  
  

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• 2.
  Calculate:
  a)

  $30 - {5^2} + \left( {{6^3} - {2^3}} \right)$
  
  
  b)

  $9 - 4\left( {{2^3}} \right)$
  
  
  c)

  ${\left( { - 5 - 4} \right)^2} + {\left( { - 4} \right)^2}$
  
  
  d)

  ${\left( { - 4} \right)^6} \div {2^3}$
  
  

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• 3.
  A small yellow square is put on top of a large green square. The side length of the yellow square is 7 cm, whereas the side length of the green square is 11 cm.
  
  
  a)

  Write the visible green area as powers.
  
  
  b)

  Calculate the visible green area.
  
  

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