Laws of Exponents

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Familiarize with these basic laws. Then, use the flashcards below to practice them and increase your speed and stamina using them.

lawsexponents

Use Rule #1 above for these flash cards.

  • xa · xb =
    xa + b
  • 22 · 2 =
    22 + 1 = 23 = 8
  • 22 · 22 =
    22 + 2 = 24 = 16
  • 22 · 23 =
    22 + 3 = 25 = 32
  • 22 · 24 =
    22 + 4 = 26 = 64
  • 23 · 24 =
    23 + 4 = 27 = 128
  • 23 · 25 =
    23 + 5 = 28 = 256
  • 23 · 26 =
    23 + 6 = 29 = 512
  • 23 · 27 =
    23 + 7 = 210 = 1024
  • 32 · 32 =
    32 + 2 = 34 = 81
  • 32 · 33 =
    32 + 3 = 35 = 243
  • 33 · 33 =
    33 + 3 = 36 = 729

Use Rule #2 above for these flash cards.

  • xa / xb =
    xa - b
  • 23 / 2 =
    23 - 1 = 22 = 4
  • 26 / 23 =
    26 - 3 = 23 = 8
  • 28 / 23 =
    28 - 3 = 25 = 32
  • 36 / 32 =
    36 - 2 = 34 = 81
  • 38 / 33 =
    38 - 3 = 35 = 243
  • 38 / 32 =
    38 - 2 = 36 = 729
  • 39 / 32 =
    39 - 2 = 37 = 2,187

Use Rule #3 above for these flash cards.

  • (xa)b =
    xab
  • (22)2 =
    22 × 2 = 24 = 16
  • (22)3 =
    22 × 3 = 26 = 64
  • (24)2 =
    24 × 2 = 28 = 256
  • (23)3 =
    23 × 3 = 29 = 512
  • (22)5 =
    22 × 5 = 210 = 1024
  • (32)2 =
    34 = 81
  • (32)3 =
    36 = 729
  • (52)2 =
    54 = 625
  • (52)3 =
    56 = 15,625