RileeT7884 RileeT7884
  • 16-02-2021
  • Mathematics
contestada

Rewrite the expression

as square of a monomial.

81x^6y^4

Respuesta :

joaobezerra joaobezerra
  • 17-02-2021

Answer:

[tex](9x^3y^2)^2[/tex]

Step-by-step explanation:

The expression, as a square of a monomial, will be given by:

[tex](\sqrt{81x^6y^4})^2[/tex]

Now, we calculate the root, applying it's properties. So

[tex]\sqrt{81x^6y^4} = \sqrt{81} \times \sqrt{x^6} \times \sqrt{y^4} = 9 \times x^{\frac{6}{2}} \times y^{\frac{4}{2}} = 9x^3y^2[/tex]

The expression as a square of a monomial is given by

[tex](9x^3y^2)^2[/tex]

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