OkalaniQ486521 OkalaniQ486521
  • 03-11-2022
  • Mathematics
contestada

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

Multiply Polynomials Find the product and write answers in standard form class=

Respuesta :

AdaleenY542988 AdaleenY542988
  • 03-11-2022

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]

Answer Link

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