kellymcdow559 kellymcdow559
  • 27-02-2021
  • Mathematics
contestada

If the expression 2xy^{-2}{4xy^2} is written in the form ax^by^c, then what is the product of a b and c?

Respuesta :

JeanaShupp
JeanaShupp JeanaShupp
  • 28-02-2021

Answer: The product of a b and c is 0.

Step-by-step explanation:

The given expression : [tex]2xy^{-2}{4xy^2}[/tex]

[tex]=2\times4x^{1+1}y^{-2+2}\ \ \ \ [\text{Property of exponents: } a^m\times a^n=a^{m+n}][/tex]

[tex]=8x^2y^0[/tex]

When we compare this to [tex]ax^by^c[/tex], we get a=8, x=2, y=0

The product of a, b and c = [tex]a\times b \times c[/tex]

[tex]=8\times2\times0\\\\=0[/tex]

The product of a b and c is 0.

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