Question

Multiply Polynomials. Find the product and write answers in standard form

Answer 1

Step 1

Given;

`5m^3(n^6)(6n^5)`

Required; To multiply the polynomials

Step 2

Write the answers in standard form.

Rearrange the question and write like terms close to each other

`5*6* n^6* n^5* m^3`

Simplify using the following law of indices

`a^b* a^n=a^(b+n)`
`\begin{gathered} 5*6=30 \\ n^6* n^5=n^(6+5)=n^(11) \\ m^3=m^3 \end{gathered}`

Hence the combined answer will be;

`30m^3n^(11)`
`5m^3(n^6)(6n^5)=30m^3n^(11)`

Answer;

`30m^3n^(11)`