How do you simplify this?

Question

(m/4 n/3) ^-1

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(-5m /-3 n4)²

Answer 1

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

Answer 2

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