Question

Multiply monomials ( 6m^4 n^3 ) (7mn^5)

Answer 1

Step-by-step explanation:
`\begin{gathered} \text{Given:} \\ \mleft(6m^4n^3\mright)(7mn^5) \end{gathered}`

We will break down the terms and combine like terms before simplifying

`\begin{gathered} \mleft(6m^4n^3\mright)(7mn^5)\text{ = (6 }* m^4* n^3\text{ )}*\text{ (7}*\text{ m}* n^5) \\ \text{= 6 }* m^4* n^3\text{ }*\text{ 7}*\text{ m}* n^5 \end{gathered}`

collect like terms:

`\begin{gathered} \text{6 }* m^4* n^3\text{ }*\text{ 7}*\text{ m}* n^5 \\ =\text{ 6 }*\text{ 7}* m^4*\text{ m}* n^3* n^5 \\ =\text{ 6 }*\text{ 7}* m^4* m^1* n^3* n^5 \\ \\ \text{when the exponents have same base, the exponents are brought together} \\ \text{If multiplication betw}een\text{ the terms, the exponents are added} \\ \text{if division betwe}en\text{ the terms, the exponents are substracted} \\ \\ =\text{ 6 }*\text{ 7}* m^(4+1)* n^(3+5) \end{gathered}`
`\begin{gathered} \text{simplify:} \\ =\text{ 42}* m^(4+1)* n^(3+5) \\ =\text{ 42}* m^5* n^8 \\ \\ =42m^5n^8 \end{gathered}`