Question

How do you simplify `\frac { ( 3x ) ^ { - 2} } { ( 2x ) ^ { - 1} }` ?

Answer 1

`2/(9x)`

Explanation:

Recall that `x^(-a)/x^(-b)=x^b/x^a`. With this in mind, we can simply invert this fraction with positive exponents to get

`(2x)/(3x)^2`, or `(2x)/(9x^2)`, or, cancelling out a `x` in the numerator and denominator, we get

`2/(9x)`

Hope this helps!