Step 1
Given;
[tex]5m^3(n^6)(6n^5)[/tex]
Required; To multiply the polynomials
Step 2
Write the answers in standard form.
Rearrange the question and write like terms close to each other
[tex]5\times6\times n^6\times n^5\times m^3[/tex]
Simplify using the following law of indices
[tex]a^b\times a^n=a^{b+n}[/tex][tex]\begin{gathered} 5\times6=30 \\ n^6\times n^5=n^{6+5}=n^{11} \\ m^3=m^3 \end{gathered}[/tex]
Hence the combined answer will be;
[tex]30m^3n^{11}[/tex][tex]5m^3(n^6)(6n^5)=30m^3n^{11}[/tex]
Answer;
[tex]30m^3n^{11}[/tex]
