Question

The value of ${\left(243\right)}^{\frac{1}{5}}$ is

(a) 3

(b) –3

(c) 5

(d) $\frac{1}{3}$

Answer 1

$$\begin{gathered} {\left(243\right)}^{\frac{1}{5}}={\left(3^5\right)}^{\frac{1}{5}} \\ =3^1 \\ =3 \end{gathered}$$

$\therefore$ The value of ${\left(243\right)}^{\frac{1}{5}}$ is 3.

Hence, the correct option is (a).