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Laws of Exponents Activity
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Laws of Exponents Activity
1.
1
2.
𝑦8 𝑦 ∗ 𝑦7 2
3.
625 52 ∗ 52 3
4.
𝑒2𝑥 𝑒 𝑥 ∗ 𝑒
𝑥 4
5.
𝑛6𝑧 𝑛 𝑧 ∗ 𝑛2𝑧 ∗
𝑛3𝑧 5
6.
𝑎15 (𝑎3 )5 6
7.
256 (42 )2 7
8.
𝑚10 𝑛15 (𝑚2 𝑛3 )5 8
9.
4𝑤2 𝑎2 𝑦6 (2𝑤𝑎𝑦3 )2 9
10.
−32 −25 10
11.
−343𝑝15 11 (−7𝑝5 )3
12.
𝑚 𝑦 𝑛 𝑥𝑦 (𝑚𝑛
𝑥 ) 𝑦 12
13.
𝑎 𝑚𝑘 𝑏 𝑛𝑘 𝑐
𝑘 (𝑎 𝑚 𝑏 𝑛 𝑐) 𝑘 13
14.
1 𝑥3 𝑥2 𝑥5 14
15.
𝑑6 4 5𝑑12 20𝑑6 15
16.
𝑎9 𝑏9 𝑐9 𝑑9 ( 𝑎𝑏 𝑐𝑑 )9 16
17.
25𝑦2 16𝑧2 ( 5𝑦 4𝑧 )2 17
18.
1 (𝑚15 𝑛13 )0 18
19.
𝑎19 𝑐29 1250 𝑎19 𝑏0 𝑐29 19
20.
2 𝑚3 2𝑚−3 20
21.
1 8𝑚3 (2𝑚)−3 21
22.
𝑘7 ℎ5 ℎ−5 𝑘−7 22
23.
1 4𝑝8 𝑞4 𝑟2 (2𝑝4 𝑞2 𝑟)−2 23
24.
𝑑𝑒 𝑓4 𝑑𝑒𝑓−4 24
25.
−1 25 −13
26.
−1 26 −199
27.
1 27 −150
28.
−𝑏35 28 −(𝑏5 )7
29.
−4 29 −4(52 𝑟𝑠)0
30.
36𝑚12 𝑛23 2𝑚10 𝑛18 ∗ 18𝑚2 𝑛5 30
31.
(𝑎 − 𝑏)2 =
𝑎2 − 2𝑎𝑏 + 𝑏2 (𝑎 − 𝑏)5 (𝑎 − 𝑏)3 31
32.
32 Evaluate each expressions. 1.
𝑏−4 2. −177 3. (𝑚𝑒)21 4. 82 𝑎0 𝑏0 𝑐10 5. (−23 )2
33.
33 1. 1 𝑏4 2. −1 3. 𝑚21 𝑒21 4.
64𝑐10 5. 64
34.
34
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