Answer
No, the function is not one-to-one.
Work Step by Step
We are given:
$h(x)= \frac{1}{x^{4}}$
This function is not one-to-one because it fails the horizontal line test (it is an even function). We can show that this function has the same $y$ value for two $x$ values:
$h(-1)= \frac{1}{(-1)^{4}}=1$
$h(1)= \frac{1}{(1)^{4}}=1$
Thus the function is not one-to-one.
