(-12)^-3
[tex] =(-12)^{-3} [/tex]
convert negative exponent into positive using formula x^(-m)=1/x^m
[tex] =\frac{1}{(-12)^{3}} [/tex]
[tex] =\frac{1}{(-12)(-12)(-12)} [/tex]
[tex] =\frac{1}{(144)(-12)} [/tex] (because the product of two negative numbers equals a positive)
[tex] =\frac{1}{-1728} [/tex] (because the product of negative and positive numbers equals a negative)
We see that final answer is negative while Lizbeth says it should be positive.
Hence given explanation is FALSE.