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If y be any non zero integer, then y^(@)...

If y be any non zero integer, then `y^(@)` is equal to

A

1

B

0

C

`-1`

D

Not defined

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question "If y be any non-zero integer, then y^0 is equal to", we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Problem**: We are given that \( y \) is a non-zero integer. This means \( y \) can be any integer except for zero (e.g., -3, -2, -1, 1, 2, 3, etc.). 2. **Applying the Law of Exponents**: According to the laws of exponents, any non-zero number raised to the power of zero is equal to 1. This can be stated mathematically as: \[ a^0 = 1 \quad \text{for any } a \neq 0 \] 3. **Substituting y into the Law**: Since \( y \) is a non-zero integer, we can substitute \( y \) into the equation: \[ y^0 = 1 \] 4. **Conclusion**: Therefore, the value of \( y^0 \) is equal to 1. ### Final Answer: \[ y^0 = 1 \]
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