Question

Which of the following expressions can be used to show 5^3/2 is equivalent to radical 5^3

Answer 1

Answer:

Option (4) is correct.

Step-by-step explanation:

We need to show that $5^{3/2}$ is equivalent to radical $\sqrt{5^3}$.

We can do it as follows :

$\sqrt{5^3} =(5^3)^{\dfrac{1}{2}}\\\\=5^{\dfrac{3}{2}}$

Hence, the correct option is (4).