simplify (5/4)^-1+(2/3)^-2

Question

Please answer and explain

Answer 1

In general, if a, b ≠ 0, then (a/b)^-n = (b/a)ⁿ

 

So, (5/4)^-1 + (2/3)^-2 = 4/5 + (3/2)²

 

                             = 4/5 + 9/4

 

Now, just find the common denominator and add.