Answer:
She added the exponents instead of subtracting them.
Explanation:
She was to simplify:
![(3x^3)/(12x^-^2)](https://img.qammunity.org/2020/formulas/mathematics/high-school/nu6h3kaepunl1v21ivpm13ply5ugcu7uzm.png)
Dividing the numerator with 3 and the denominator with three gives:
![(x^3)/(4x^-^2)](https://img.qammunity.org/2020/formulas/mathematics/high-school/glqoaahyibxqbe7r61vnbwd5k2axqe7qno.png)
Then, x³ ÷
would be
=
![x^(5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rtk4i8y2ap2d4l0cgy35wuubxbm0fi9wh4.png)
(Where there is division; we are supposed to subtract the exponents.)
So the final answer would be:
![(x^5)/(4)](https://img.qammunity.org/2020/formulas/mathematics/high-school/xq1noi7nxcayohzihvcqadro095prs131x.png)