**Can $y=\frac{e^\frac{t^4}{12}}{e^{\frac{t^3}{3}}}$ be simplified?**

So, I'm working on a problem and I encounter this problem instead. For some reason, the way it looks is intimidating. So this is how I'm tackling it:

I multiply the bottom denominator by 4 and obtain:

$$y=\frac{e^\frac{t^4}{12}}{e^{\frac{4t^3}{12}}}$$

so i'm wondering can I divide even though the exponents are different?
If I can, then I would just get:

$$y=4e^t$$

but i'm not sure.