Question

Simplify this expression: `{[(2/5)^2xx(15/4)^2xx(1/9)]-:(1/6)xx6}/{(-2/3)^2xx(-1)^2xx(-3/2)^3}`?

Answer 1

`-1/6`

Explanation:

`([(2/5)^2xx(15/4)^2xx(1/9)]-:(1/6)xx6)/((-2/3)^2xx(-1)^2xx(-3/2)^3)`

`([4/25xx225/16xx1/9]-:1)/(4/9xx1xx-27/8)`

`([1/1xx1/4xx1/1])/(1/1xx1xx-3/2)`

`(1/4)/(-3/2)`

`(1/4)xx(-2/3)=-1/6`