Playing with Powers - Rachel's thoughts

Thank you to Rachel for sending us her thoughts on Playing with Powers.

 

  1. 92 + 32 = 90
    6+ 122 = 180
    572 + 63= 2406
     
  2. Both the pairs of numbers in each sum are a multiple of three to start with, before they have been squared.
     
  3. It works because when you multiply a multiple of three by itself its still a multiple of three and when you add two multiples of three together the sum is still divisible by three.
     
  4. 122 + 16= 400
    36+ 44= 3,232
    444+ 336 = 310,032
     
  5. Both of the pairs of numbers in each sum are a multiple of 4 to start with before they have been squared.
     
  6. It works because when you multiply a multiple of four by itself its still a multiple of four and when you add two multiples of four together the sum will still divide by four.
     
  7. 5+ 65= 4,250
    15+ 585= 342,450
    45+ 95000= 9,025,002,025
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