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243^2/5


(3^5)^2/5


3^5.2/5


3^2


9

Answer:

The correct option is c.

Step-by-step explanation:

The given expression is

\(243^{\frac{2}{5}}\)

According to the exponential property:

\(x^{mn}=(x^{m})^n\)

Using this rule we get

\(243^{\frac{2}{5}}=(243^{\frac{1}{5}})^2\)

\(243^{\frac{2}{5}}=(3)^2\)      \((243^{\frac{1}{5}}=3)\)

\(243^{\frac{2}{5}}=9\)

The value of given expression is 9. Therefore the correct option is c.

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