Question

Find the value of 243 raised to the power 3/5

Answer 1

Given:

$243^{\frac{3}{5}}$

Required:

To find the value of given expression.

Explanation:

Now consider

$\begin{gathered} 243^{\frac{3}{5}}=(\sqrt[5]{243})^3 \\ \\ =(\sqrt[5]{3^5})^3 \\ \\ =3^3 \\ \\ =27 \end{gathered}$

Final Answer:

$243^{\frac{3}{5}}=27$