While the property owner is responsible for many maintenance items, tenants are also responsible for some items, and may be liable under the law if they don't fulfill their responsibilities. Don't tamper with the smoke detector or remove its battery.
Smoke detectors save lives.
Test your smoke detector regularly. They can cause a fire and keep you from escaping if there is a fire. Keep your bathroom fixtures clean and clear of things that will clog them. It may also result in your being evicted. Often landlords can avoid complaints by keeping illegal activity out of their property.