It’s really easy do not make it complicated on yourself!
Fist thing you should know ANY NUMBER WHICH IS TO POWER ZERO THE ANSWER WILL ALWAYS BE ONE!!
Part A : (7^2)^x is (49)^x
(49)^x = 1 , here is basically asking you what’s the value of X to know which number to the power of 49 to put so that it equals to 1, obviously the answer is 0 as we said before ANY NUMBER TO THE POWER OF 0 , the answer will be 1
Part A = 0
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Part B IS GONNA BE WAY EASIER NOW TRUST ME!!
(7^0) = 1
(1)^x = 1
So now is asking what number to put for x for you to multiply by one to get one it’s obviously 1, because 1 x 1= 1
Part B = 1
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I hope you understand my explanation so good luck and best of wishes!!