Multiplying and Dividing Indices

Because we are multiplying these indices, we add the indices

a³ x a⁴ = a³⁺⁴  = a⁷

Because we are multiplying these indices, we add the indices

a⁴ x a⁶ = a⁴⁺⁶  = a¹⁰

Because we are multiplying these indices, we add the indices

a⁷ x a² = a⁷⁺²  = a⁹

Because we are multiplying these indices, we add the indices

a⁶ x a⁷ = a⁶⁺⁷  = a¹³

Because we are dividing these indices, we subtract the indices

a⁶ ÷ a⁵ = a^6-5  = a¹

Remember that a¹ should just be written as a

Because we are dividing these indices, we subtract the indices

a⁹ ÷ a⁶ = a^{9 - 6}  = a³

Because we are dividing these indices, we subtract the indices

y²⁷ ÷ y³ = a^{27 - 3}  = a⁹

Because we are multiplying these indices, we add the indices

y⁷⁰ x y⁷ = a⁷⁰⁺⁷  = a⁷⁷

Because we are multiplying these indices, we add the indices

y⁶ ÷ y⁶ = y⁶⁺⁶  = y¹²

Because we are dividing these indices, we subtract the indices

a⁶ ÷ a⁶ = a^6-6  = a⁰

Remember that a⁰ should just be written as 1