Step-by-step explanation:
[tex]LHS : [/tex]
[tex] { ({16}^{ \frac{1}{4} } )}^{3} [/tex]
[tex] = { (\sqrt[4]{16}) }^{3} [/tex]
[tex] = {2}^{3} [/tex]
[tex] = 8[/tex]
[tex]RHS : [/tex]
[tex] { ({16}^{3} )}^{ \frac{1}{4} } [/tex]
[tex] = {4096}^{ \frac{1}{4} } [/tex]
[tex] = \sqrt[4]{4096} [/tex]
[tex] = 8[/tex]
LHS = RHS
HENCE VERIFIED