Math Eight – Daily Work – 11/20/15
Simplify
1. 𝑥 10 ∙ 𝑥 4
2. (𝑥 2 𝑦 4 )12
𝑥 10+4 = 𝑥 14
𝑥 2∙12 𝑦 4∙12 = 𝑥 24 𝑦 48
3. 𝑥 4 𝑦 3 ∙ 𝑥 6 𝑦10
4. (𝑥 6 𝑥 10 )2
𝑥 4+6 𝑦 3+10 = 𝑥 10 𝑦13
𝑥 6∙2 𝑦10∙2 = 𝑥 12 𝑦 20
5. 𝑥 2 ∙ 𝑥 ∙ 𝑥 7
6. (𝑥 2 𝑦 5 ∙ 𝑥 9 𝑦 4 )8
𝑥 2+1+7 = 𝑥 10
(𝑥 2+9 𝑦 5+4 )8 = (𝑥 11 𝑦 9 )8 = 𝑥 11∙8 𝑦 9∙8 = 𝑥 88 𝑦 72
7. (𝑥 10 )5
8.
𝑥 10∙5 = 𝑥 50
𝑥 10−4 = 𝑥 6
9.
𝑥 2 𝑦∙𝑥 5 𝑦 6
𝑥 3𝑦4
𝑥 2+5 𝑦 1+6
𝑥 3𝑦4
𝑥 10
𝑥4
10. (𝑥 2 𝑦 4 )6 ∙ (𝑥 5 𝑦10 )3
𝑥 7𝑦7
= 𝑥 3 𝑦4 = 𝑥 7−3 𝑦 7−4 = 𝑥 4 𝑦 3
𝑥 2∙6 𝑦 4∙6 ∙ 𝑥 5∙3 𝑦10∙3 = 𝑥 12 𝑦 24 ∙ 𝑥 15 𝑦 30
𝑥 12+15 𝑦 24+30 = 𝑥 27 𝑦 54
11.
4
𝑥 3 ∙𝑥 6 ∙𝑥 10
(𝑥 2 )4
𝑥 3+6+10
𝑥 2∙4
=
𝑥 19
𝑥8
12.
= 𝑥 19−8 = 𝑥 11
𝑥 10∙4
𝑥 7∙3
(𝑥 10 )
(𝑥 7 )3
𝑥 40
= 𝑥 21 = 𝑥 40−21 = 𝑥 19