0

# How do you simplify this?

(m/4 n/3) -1

_________________

(-5m /-3 n4)2

Is the denominator (-5m/-3 * n4)2

or is it (-5m/-3n4)2

or something else?

### 2 Answers by Expert Tutors

Toby B. | "Master Teacher" for SAT, GMAT, GRE, ACT, Academics, Writing...."Master Teacher" for SAT, GMAT, GRE, ACT...
4.7 4.7 (46 lesson ratings) (46)
0

Assuming the original problem is: [(m/4)*(n/3)]-1 divided by [(-5m/-3)*(n4)]2

The numerator becomes  (mn/12)-1. Any fraction to the -1 power is just flipped, so this becomes 12/mn

The denominator becomes (-5mn4/-3)2  Squaring a fraction means squaring its numerator and denominator, so this becomes 25m2n8/9.

Put them together you get  (12/mn)/(25m2n8/9) = (12/mn) * (9/25m2n8

Multiply across:      = 108/25m3n9

Bill F. | Experienced Teacher & Tutor in Round Rock, TXExperienced Teacher & Tutor in Round Roc...
5.0 5.0 (1 lesson ratings) (1)
0

Assuming the original problem is:  [(m/4)*(n/3)]-1 divided by [(-5m/-3)*(n4)]2

= 1 divided by [(mn/12)] [(5mn4/-3)2]

= 1 divided by (mn/12) (25m2n8/9) = 1 / (25m3n9/108) = 108 / 25m3n9