Answer:
1. a = 1
2. See explanation below.
Explanation:
First Question
Given:

Convert to exponential:

Thus

Evaluate:

We know that for every values to power of 0 will always result in 1, excluding 0 to power of 0 itself.
Solution:

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Second Question
Given:
and

Let’s convert to an equation:
and

The variables represent unknown values of logarithm.
Convert to exponential:
and

Notice that none of x-values and y-values will satisfy the equations. No matter what real numbers you put in, these equations will always be false.
Hence, no solutions for x and y.