Respuesta :
Answer:
The correct option is c.
Step-by-step explanation:
The given expression is
[tex]243^{\frac{2}{5}}[/tex]
According to the exponential property:
[tex]x^{mn}=(x^{m})^n[/tex]
Using this rule we get
[tex]243^{\frac{2}{5}}=(243^{\frac{1}{5}})^2[/tex]
[tex]243^{\frac{2}{5}}=(3)^2[/tex] [tex](243^{\frac{1}{5}}=3)[/tex]
[tex]243^{\frac{2}{5}}=9[/tex]
The value of given expression is 9. Therefore the correct option is c.
