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Answer :

MrRoyalgo

Answer:

[tex]-15x^5y^7[/tex]

Step-by-step explanation:

Given

[tex](-3xy^3)(5x^4y^4)[/tex]

Required

Express as [tex]Ax^my^n[/tex]

[tex](-3xy^3)(5x^4y^4)[/tex]

Expand each factor in both brackets

[tex](-3 * x * y^3) (5 * x^4 * y^4)[/tex]

Remove brackets

[tex]-3 * x * y^3*5 * x^4 * y^4[/tex]

Bring like factors together

[tex]-3 *5* x * x^4* y^3 * y^4[/tex]

[tex]-15* x * x^4* y^3 * y^4[/tex]

Apply law of indices

[tex]-15* x^{1+4}* y^{3+4[/tex]

[tex]-15* x^5* y^7[/tex]

[tex]-15x^5y^7[/tex]

Done

Ajeigbeibraheemgo

The expression equivalent to (-3xy^3)(5x^4y^4) in the form Ax^my^n [tex]\mathbf{=-15x^{5} y^{7}}[/tex]

Indices are algebraic expressions usually raised to a power of a given number or term.

Given that:

  • (-3xy^3)(5x^4y^4)

To express the given indices in terms of Ax^my^n, we need to open the two brackets and multiply the corresponding variables carrying the same terms.

i.e.

[tex]\mathbf{=(-3xy^3)(5x^4y^4) }[/tex]

[tex]\mathbf{=((-3\times 5)x^{1 +4}) ( y)^{3+4}}[/tex]

[tex]\mathbf{=-15x^{5} y^{7}}[/tex]

Learn more about indices here:

https://brainly.com/question/20411226

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