Question

Evaluate


`{yx}^(y) - {xy}^(x)`
for x=

`(1)/(2)`
and y=4




Answer Choices

`(3)/(4)`

`- 1 (3)/(4)`

`(1)/(4)`

`- (1)/(2)`

`- (3)/(4)`
​

Answer 1

-3/4

Explanation:

A calculator can work this for you. All you need to do is substitute the numbers for the variables.

yx^y -xy^x

= 4(1/2)^4 -(1/2)(4^(1/2))

= 4/16 - 1/2√4 = 1/4 - 1

= -3/4