justadweeb justadweeb
  • 11-02-2022
  • Mathematics
contestada

What are the steps to solve (5xy^3)^2(xy)^4?

Respuesta :

goddessboi goddessboi
  • 11-02-2022

Answer:

[tex]25x^6y^{10}[/tex]

Step-by-step explanation:

[tex](5xy^3)^2(xy)^4\\\\5^2*x^2*(y^3)^2*x^4*y^4\\\\25*x^{2+4}*y^{3*2}*y^4\\\\25*x^6*y^6*y^4\\\\25x^6*y^{6+4}\\\\25x^6y^{10}[/tex]

Remember to use your exponent rules

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Azailia
Azailia Azailia
  • 11-02-2022

Hi!

Given:

[tex](5xy^3)^2(xy)^4[/tex]

Distribute the exponent:

[tex]5^2x^2y^6 * x^4y^4[/tex]

Multiply like terms (add the exponents to do it):

[tex]25x^6y^[/tex]^10

For more information on how to solve these types of questions, see:

https://brainly.com/question/219134

Answer Link

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