Hey there!
The answer to your question is one zero.
To solve this, we can first start by finding the cube root.
![\sqrt[3]{1000}](https://img.qammunity.org/2022/formulas/mathematics/high-school/uvgq3jf1ipa8lodb5rlvp85lxqap06b523.png)
The answer to this is
, because

Now, we can see that there is one zero at the end of
.
Hope it helps and have a great day/night! Stay safe!