Final answer:
A) x=1. The correct answer to the question x=(y−7)^0 is A) x=1. Any nonzero number to the power of zero equals one.
Step-by-step explanation:
The student asked: x=(y −7 )^0 What does x equal to? The answer is A) x=1. Any number (except zero) raised to the power of zero is equal to one. This is a fundamental rule in exponents, one that applies irrespective of the base's value. Hence, no matter what the value of 'y' is, as long as we have (y-7) raised to the zeroth power, the result will be 1. It is not associated with any operations on 'y' itself, such as y^7, nor does it result in zero, making the only correct option A.