Which expression is equivalent to (4 ^5/4 times 4^1/2 divided by 4^1/2)

Question

asked Jun 16, 2020 227k views

2 Answers

Bananakilo · Answer 1 · 2020-06-19T19:33:42+0000

Answer:

$2 ^ { \frac { 5 } { 2 }$

Explanation:

We are given the following expression which we are to find its simplest form:

$\frac { 4 ^ { \frac { 5 } { 4 } } * 4 ^ { \frac { 1 } { 2 } } } { 4 ^ { \frac { 1 } { 2 } } }$

Cancelling the like terms to get:

$4 ^ { \frac { 5 } { 4 } }$

$2 ^ { 2 .\frac { 5 } { 4 } } = 2 ^ { \frac { 5 } { 2 } }$

$2 ^ { \frac { 5 } { 2 }$