Question #a16c4

1 Answer
Oct 30, 2017

I get #14:-1#, but may be misreading the question.

Explanation:

I'm answering the question:
Find #[(-2)^15+(-2)^12]:[(-2)^11+(-2)^12]# in its simplest form.
If this is not the question you intended, please correct me!
Dividing both sides of the ratio by #(-2)^11# gives:
#[(-2)^4+(-2)]:[1+(-2)]#
Applying the indices gives:
#[16+ -2]:[1+ -2]=14: -1#