Find the Missing Exponent: Solving 0^□ = 0

Fill in the missing number:

0=0 0^☐=0

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1

Understand the problem

Fill in the missing number:

0=0 0^☐=0

2

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.

3

Final Answer

a (any number)

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\( 11^2= \)

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