Negative, Rational Exponents

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Negative, Rational Exponent
(a negative exponent expressed as a ratio):

xa/b = 1 / (b x )a

EXAMPLE:

4-1/2 = 1 /  4  = 1/2

8-1/3 = 1 / 3 8  = 1/2

8-2/3 = 1 / (3 8 )2 = 1/4

Use this extended list of examples for practice; then try your brain on the flashcards.

9-1/2 = 1 /  9  = 1/3

16-1/2 = 1 /  16  = 1/4

25-1/2 = 1 /  25  = 1/5

36-1/2 = 1 /  36  = 1/6

49-1/2 = 1 /  49  = 1/7

4-1/3 = 1 / 3 4 

8-1/3 = 1 / 3 8  = 1/2

8-2/3 = 1 / (3 8 )2 = 1/22 = 1/4

27-2/3 = 1 / (3 27 )2 = 1/32 = 1/9

  • 4-1/2 =
    1/2
  • 9-1/2 =
    1/3
  • 16-1/2 =
    1/4
  • 25-1/2 =
    1/5
  • 36-1/2 =
    1/6
  • 49-1/2 =
    1/7
  • 8-1/3 =
    1/2
  • 8-2/3 =
    1/4
  • 27-1/3 =
    1/3
  • 27-2/3 =
    1/9
  • 64-1/3 =
    1/4
  • 64-2/3 =
    1/16
  • 125-1/3 =
    1/5
  • 125-2/3 =
    1/25
  • 216-1/3 =
    1/6
  • 216-2/3 =
    1/36
  • 343-1/3 =
    1/7
  • 343-2/3 =
    1/49
  • 512-1/3 =
    1/8
  • 512-2/3 =
    1/64
  • 729-1/3 =
    1/9
  • 729-2/3 =
    1/81
  • 1000-1/3 =
    1/10
  • 1000-2/3 =
    1/100
  • 8-4/3 =
    1/24 = 1/16
  • 16-5/4 =
    1/25 = 1/32
  • 3-4/2 =
    1/32 = 1/9
  • 2-6/2 =
    1/23 = 1/8
  • 4-6/3 =
    1/42 = 1/16
  • 2-9/3 =
    1/23 = 1/8
  • 2-27/3 =
    1/29 = 1/512
  • 4-27/9 =
    1/43 = 1/64