Question

6x^5+12x^1
-------------
-2x^-3

Answer 1

the problem can be simplifed by splitting into 2 fractions

\[\frac{6x^5}{-2x^{-3} }+ \frac{12x^1}{-2x^{-3}}\]

so you need to simplify 6/-2 and 12/-2

then the index law for division is subtract the powers

\[\frac{x^a}{x^b} = x^{a - b}\]

if you subtract the powers, you'll get the correct power of x.

But be careful as you'll be subtracting a negative...