Respuesta :

Answer:

[tex]7 {x}^{6} {y}^{4} [/tex]

Step-by-step explanation:

to understand the solving steps

you need to know about

  • [tex] \sqrt{xy} < = > \sqrt{x} \sqrt{y} [/tex]
  • PEMDAS
  • [tex] \sqrt{ {x}^{y} } < = > {x}^{ \frac{1}{y} \times 2} [/tex]

let's solve:

[tex] \sqrt{49 {x}^{12} {y}^{8} } [/tex]

[tex] \sqrt{ {7}^{2} } \sqrt{ {x}^{12} } \sqrt{ {y}^{8} } [/tex]

[tex]7 ^{ \frac{1}{2} \times 2 } \times {x}^{ \frac{1}{2} \times 12 } \times {y}^{ \frac{1}{2} \times 8 } [/tex]

[tex]7 {x}^{6} {y}^{4} [/tex]

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