Escribe la propiedad o definición que se utiliza en cada paso para simplificar la expresión?

SOLUCIÓN

Hola!

(⌐■_■)

Las propiedades a usar son

<img src="https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboldsymbol%7B%5Cfrac%7Ba%5E%7Bm%7D%7D%7Ba%5E%7Bn%7D%7D%3D%20a%5E%7Bm-n%7D%7D%7D%5C%5C%5C%5C%5C%5C%5Cboxed%7B%5Cboldsymbol%7B%28ab%29%5E%7Bm%7D%20%3D%20a%5E%7Bm%7Db%5E%7Bm%7D%7D%7D%5C%5C%5C%5C%5C%5C%5Cboxed%7B%5Cboldsymbol%7Ba%5E%7B0%7D%20%3D1%7D%7D" />

En el problema

<img src="https://tex.z-dn.net/?f=%5Cmathtt%7B%28%5Cfrac%7B36a%5E%7B-2%7Db%5E%7B-4%7D%7D%7B9a%5E%7B-2%7Db%5E%7B-3%7D%7D%29%5E%7B2%7D%7D%5C%5C%5C%5C%5Cmathtt%7B4a%5E%7B%5B-2%20-%20%28-2%29%5D%7Db%5E%7B%5B-4-%28-3%29%5D%7D%29%5E%7B2%7D%7D%5C%5C%5C%5C%5Cmathtt%7B%284a%5E%7B0%7Db%5E%7B-1%7D%29%5E%7B2%7D%7D%5C%5C%5C%5C%5Cmathtt%7B%284b%5E%7B-1%7D%29%5E%7B2%7D%7D%5C%5C%5C%5C%5Cmathtt%7B4%5E%7B2%7Db%5E%7B-1%282%29%7D%7D%5C%5C%5C%5C%5Cmathtt%7B%5Cboxed%7B16b%5E%7B-2%7D%7D%7D" />.