Show that the equation $y=e^x/x^3$ has a root between $1.2$ and $1.3$

Question

Show that the equation $y=e^x/x^3$ has a root between $1.2$ and $1.3$

Hey, having trouble with this one. Would appreciate a hand, not sure how to go about the exponent and such.

Answer 1

For $x>0$, $\frac{\exp(x)}{x^3} >0$, it is not a true statement.

For $x<0$, $\frac{exp(x)}{x^3} < 0$, it doesn't have a root.

The function is not defined at $x=0$.

It doesn't have a root.

Here is how it looks like:

Desmos link here.