Explicación paso a paso:
[tex] {(18 {x}^{2}y) }^{3} ( {3 {x}^{2} {y}^{2}) }^{2} = 5832 {x}^{6} {y}^{3} (9 {x}^{4} {y}^{4} ) = 52488 {x}^{10} {y}^{7} [/tex]
Respuesta:
[tex]\mathrm{\left(18x^2y\right)^3\left(3x^2y^3\right)^2}[/tex]
[tex]\mathrm{\left(18x^2y\right)^3=5832x^6y^3}[/tex]
[tex]\mathrm{\left(3x^2y^3\right)^2=9x^4y^6}[/tex]
[tex]\mathrm{5832x^6y^3\cdot \:9x^4y^6}[/tex]
[tex]\:5832\cdot \:9=52488[/tex]
[tex]\mathrm{52488x^6y^3x^4y^6}[/tex]
Simplificamos
[tex]\mathrm{x^6x^4=x^{10}}[/tex]
[tex]\mathrm{y^3y^6=y^9}[/tex]
Solución:
[tex]\boxed{\mathrm{52488x^{10}y^9}}[/tex]
Saludos...
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Verified answer
Explicación paso a paso:
[tex] {(18 {x}^{2}y) }^{3} ( {3 {x}^{2} {y}^{2}) }^{2} = 5832 {x}^{6} {y}^{3} (9 {x}^{4} {y}^{4} ) = 52488 {x}^{10} {y}^{7} [/tex]
Respuesta:
[tex]\mathrm{\left(18x^2y\right)^3\left(3x^2y^3\right)^2}[/tex]
[tex]\mathrm{\left(18x^2y\right)^3=5832x^6y^3}[/tex]
[tex]\mathrm{\left(3x^2y^3\right)^2=9x^4y^6}[/tex]
[tex]\mathrm{5832x^6y^3\cdot \:9x^4y^6}[/tex]
[tex]\:5832\cdot \:9=52488[/tex]
[tex]\mathrm{52488x^6y^3x^4y^6}[/tex]
Simplificamos
[tex]\mathrm{x^6x^4=x^{10}}[/tex]
[tex]\mathrm{y^3y^6=y^9}[/tex]
Solución:
[tex]\boxed{\mathrm{52488x^{10}y^9}}[/tex]
Saludos...