Question

I need help finding this answer ASAP

Answer 1

First & Third options

Explanation:

`\bigg( {5}^{ (3)/(8)} \: . {5}^{ (1)/(8)} \bigg)^(3) \\ \\ = \bigg( {5}^{ (3)/(8) + (1)/(8)} \bigg)^(3) \\ \\ = \bigg( {5}^{ (4)/(8)} \bigg)^(3) \\ \\ = \bigg( {5}^{ (1)/(2)} \bigg)^(3) \\ \\ = {5}^{ (3)/(2)} \\ \\ = \sqrt{ {5}^(3) } \\ \\ \huge\red{ \boxed{\therefore \bigg( {5}^{ (3)/(8)} \: . {5}^{ (1)/(8)} \bigg)^(3)= \sqrt{ {5}^(3) } }}`