ryanxue573
ryanxue573 ryanxue573
  • 12-02-2022
  • Mathematics
contestada

convert the following to powers first then simplify and then write answer as a radical ​

convert the following to powers first then simplify and then write answer as a radical class=

Respuesta :

semsee45
semsee45 semsee45
  • 12-02-2022

Answer:

[tex]\sqrt[15]{m^2n^4}[/tex]

Step-by-step explanation:

[tex](\sqrt[5]{m^2n^4} )^{\frac{1}{3}}\\\\\implies( (m^2n^4)^{\frac{1}{5}})^{\frac{1}{3}}\\\\\implies (m^2n^4)^{\frac{1}{5}\times \frac{1}{3}}\\\\\implies (m^2n^4)^{\frac{1}{15}}\\\\\implies (m^2)^{\frac{1}{15}} (n^4)^{\frac{1}{15}}\\\\\implies m^{\frac{2}{15}} n^{\frac{4}{15}}[/tex]

[tex]\sqrt[15]{m^2n^4}[/tex]

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