Question

How do you multiply `5m ^ { 7} n ^ { 2} p ^ { 6} \cdot 14m n ^ { 4} p ^ { 3}`?

Answer 1

We can simply multiply the numbers, then each pronumeral. Remember that when we multiply we add indices:

`5m^7n^2p^6⋅14mn^4p^3=70m^8n^6p^9`

Explanation:

`5m^7n^2p^6⋅14mn^4p^3=(5xx14)m^(7+1)n^(2+4)p^(6+3)`
`=70m^8n^6p^9`