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X=(y −7 )^0 What does x equal to?

A) x=1
B) x=y^7
C) x=0
D) x=y^−7

1 Answer

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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.

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