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

7 3 × 7 2 Yes / No 𝑎 7 × 𝑎 2 Yes / No 7 3 + 7 2 Yes / No 𝑎 𝑎 × 𝑎 2 Yes / No 7 3 + 6 2 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 6 0.5 × 6 2.4 Yes / No 𝑥 𝑎 × 𝑦 𝑏 Yes / No @ashtonC94

(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

7 3 × 7 2 Yes / No 𝑎 7 × 𝑎 2 Yes / No 7 3 + 7 2 Yes / No 𝑎 𝑎 × 𝑎 2 Yes / No 7 3 + 6 2 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 6 0.5 × 6 2.4 Yes / No 𝑥 𝑎 × 𝑦 𝑏 Yes / No @ashtonC94

(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

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

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