rocksquad17391 rocksquad17391
  • 22-07-2020
  • Mathematics
contestada

9. (3x2у3)3 =

А. 3x'y"

в. 9x"у"

С. 27xy"

D. 27x"у

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 22-07-2020

Answer:

[tex]27x^{6} y^{9}[/tex]

Step-by-step explanation:

Given the expression (3x²у³)³, the equivalent expression is simplified using one of the law of indices as shown;

According to the law of indices [tex](a^{m})^n = a^{mn}[/tex]. Applying this law to the given expression;

[tex]= (3x^{2}y^{3} )^{3} \\\\= (3x^{2} )^{3} * (y^{3})^{3} \\ \\= 3^{3} *(x^{2})^3* (y^{3})^{3}\\\\= 27*x^{6} *y^{9}\\\\= 27x^{6} y^{9}[/tex]

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