40. \( 0^{867} \div 1^{9876} \)

When you divide \( 0^{867} \) by \( 1^{9876} \), you’re really just simplifying \( 0 \div 1 \), since any non-zero number raised to any power equals itself. Therefore, the expression results in \( 0 \). Dividing zero by any non-zero number always gives us zero, so you can confidently say the answer is \( 0 \)! To extend this a bit further, it's interesting to note that \( 0^{867} \) is equal to \( 0 \) because any positive exponent of zero still results in zero. On the other hand, \( 1^{9876} \) is \( 1 \), reinforcing that dividing by one doesn't change the value. So in the world of math, zero has some pretty straightforward rules!