Find the Missing Exponent: Solving 0^□ = 0

Question

Fill in the missing number:

0=0 0^☐=0

Video Solution

Step-by-Step Solution

To solve this problem, we need to understand how powers with a base of zero work. Typically, for any positive integer nn, raising zero to that power results in zero, as follows:

  • 0n=00^n = 0 for n>0n > 0.

Therefore, to satisfy the equation 0=00^\square = 0, the exponent \square should be any positive integer. Hence, the missing number that makes the equation true is simply any positive integer.

Therefore, the correct answer is a (any number), which corresponds to any positive integer number.

Answer

a (any number)