1. Indices: When can you use the multiplication law?
True/false
Reflect
Your Turn
7 3 × 7 2
(3𝑎𝑏) 7 ×(3𝑎 𝑐) 2
Rule

2. 7 3 × 7 2
Yes / No
𝑎 7 × 𝑎 2
Yes / No
Yes / No
𝑎 𝑎 × 𝑎 2
Yes / No
Yes / No
𝑎× 𝑎 2
Yes / No
7 3 × 6 2
Yes / No
𝑎 0 × 𝑎 2
Yes / No
6 3 × 6 2
Yes / No
𝑎 7 + 𝑎 2
Yes / No
𝑎 7 ( 𝑎 2 )
6 −3 × 6 −2
Yes / No
Yes / No
6 −3 × 6 2
Yes / No
𝑎 7 × 𝑏 2
Yes / No
𝑎 𝑥 × 𝑎 𝑦
Yes / No ×
Yes / No
𝑥 𝑎 × 𝑦 𝑏
Yes / No
@ashtonC94

3. (𝑎𝑏) 7 ×(𝑎 𝑏) 2 (3𝑎𝑏) 7 ×(3𝑎 𝑏) 2 (3𝑎𝑏) 7 ×(2𝑎 𝑏) 2 (3𝑎𝑏) 7 ×(3𝑎 𝑐) 2
Yes / No
(3𝑎𝑏) 7 ×(3𝑎 𝑏) 2
Yes / No
(3𝑎𝑏) 7 ×(2𝑎 𝑏) 2
Yes / No
Yes / No
(3𝑎𝑏) 7 ×(3𝑎 𝑐) 2
𝑎 3 × 𝑎 4 × a 7
Yes / No
𝑎 3 𝑏× 𝑎 4 𝑏× a 7 b
Yes / No
𝑎 3 𝑏×8 𝑎 2
Yes / No
1 𝑎 2 × 1 𝑎 5
Yes / No
@ashtonC94

4. 7 3 × 7 2
Yes / No
𝑎 7 × 𝑎 2
Yes / No
Yes / No
𝑎 𝑎 × 𝑎 2
Yes / No
Yes / No
𝑎× 𝑎 2
Yes / No
7 3 × 6 2
Yes / No
𝑎 0 × 𝑎 2
Yes / No
6 3 × 6 2
Yes / No
𝑎 7 + 𝑎 2
Yes / No
𝑎 7 ( 𝑎 2 )
6 −3 × 6 −2
Yes / No
Yes / No
6 −3 × 6 2
Yes / No
𝑎 7 × 𝑏 2
Yes / No
𝑎 𝑥 × 𝑎 𝑦
Yes / No ×
Yes / No
𝑥 𝑎 × 𝑦 𝑏
Yes / No
@ashtonC94

5. (𝑎𝑏) 7 ×(𝑎 𝑏) 2 (3𝑎𝑏) 7 ×(3𝑎 𝑏) 2 (3𝑎𝑏) 7 ×(2𝑎 𝑏) 2 (3𝑎𝑏) 7 ×(3𝑎 𝑐) 2
Yes / No
(3𝑎𝑏) 7 ×(3𝑎 𝑏) 2
Yes / No
(3𝑎𝑏) 7 ×(2𝑎 𝑏) 2
Yes / No
Yes / No
(3𝑎𝑏) 7 ×(3𝑎 𝑐) 2
𝑎 3 × 𝑎 4 × a 7
Yes / No
𝑎 3 𝑏× 𝑎 4 𝑏× a 7 b
Yes / No
𝑎 3 𝑏×8 𝑎 2
Yes / No
1 𝑎 2 × 1 𝑎 5
Yes / No
@ashtonC94

6. 1) 𝑏 3 × 𝑏 3 2) 𝑎 4 × 𝑏 5 3) 𝑏 4 + 𝑏 4 4) 𝑐𝑑× (𝑐𝑑) 5 4) 2𝑐𝑑× (𝑐𝑑) −5
Your Turn
1) 𝑏 3 × 𝑏 3
Yes / No
2) 𝑎 4 × 𝑏 5
Yes / No
3) 𝑏 4 + 𝑏 4
Yes / No
4) 𝑐𝑑× (𝑐𝑑) 5
Yes / No
4) 2𝑐𝑑× (𝑐𝑑) −5
Yes / No
@ashtonC94

7. 1) 𝑏 3 × 𝑏 3 2) 𝑎 4 × 𝑏 5 3) 𝑏 4 + 𝑏 4 4) 𝑐𝑑× (𝑐𝑑) 5 4) 2𝑐𝑑× (𝑐𝑑) −5
Your Turn - answers
1) 𝑏 3 × 𝑏 3
Yes / No
2) 𝑎 4 × 𝑏 5
Yes / No
3) 𝑏 4 + 𝑏 4
Yes / No
4) 𝑐𝑑× (𝑐𝑑) 5
Yes / No
4) 2𝑐𝑑× (𝑐𝑑) −5
Yes / No
@ashtonC94