Question

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

Answer 1

SOLUCIÓN

Hola!! (⌐■_■)

Las propiedades a usar son

$\boxed{\boldsymbol{\frac{a^{m}}{a^{n}}= a^{m-n}}}\\\\\\\boxed{\boldsymbol{(ab)^{m} = a^{m}b^{m}}}\\\\\\\boxed{\boldsymbol{a^{0} =1}}$

En el problema

$\mathtt{(\frac{36a^{-2}b^{-4}}{9a^{-2}b^{-3}})^{2}}\\\\\mathtt{4a^{[-2 - (-2)]}b^{[-4-(-3)]})^{2}}\\\\\mathtt{(4a^{0}b^{-1})^{2}}\\\\\mathtt{(4b^{-1})^{2}}\\\\\mathtt{4^{2}b^{-1(2)}}\\\\\mathtt{\boxed{16b^{-2}}}$