# 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.

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 =
4 = 625
• (52)3 =
56 = 15,625