simplify using only positive exponents -5(9/4)-1/2

Question

^{simplify using positive exponents} 

-5(9/4)^1/2

 

Answer 1

-5(9/4)^-1/2

 

 

Fractional exponents means that we have a radical.  Negative exponents means that we perform the reciprocal.

 

-5 / (9/4)^-1/2  =

 

-5 / (√(9 / 4)) =

 

-5 / (√9 / √4) =

 

-5 / (3 / 2) =

 

-5 * (2 / 3) =

 

-10 / 3