Answer:
[tex] 2 ^ { \frac { 5 } { 2 } [/tex]
Step-by-step explanation:
We are given the following expression which we are to find its simplest form:
[tex] \frac { 4 ^ { \frac { 5 } { 4 } } \times 4 ^ { \frac { 1 } { 2 } } } { 4 ^ { \frac { 1 } { 2 } } }[/tex]
Cancelling the like terms to get:
[tex] 4 ^ { \frac { 5 } { 4 } } [/tex]
[tex] 2 ^ { 2 .\frac { 5 } { 4 } } = 2 ^ { \frac { 5 } { 2 } } [/tex]
[tex] 2 ^ { \frac { 5 } { 2 } [/tex]
