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6. Evaluate the following a) \( y^{0} \)

Ask by Thornton Vaughan. in Australia
Feb 22,2025

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For any number y that's not zero, \( y^{0} = 1 \).

Solución

For any nonzero value of y, the property of exponents tells us that y⁰ = 1. (Note: The expression 0⁰ is generally considered indeterminate.)

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Bonus Knowledge

Did you know that any non-zero number raised to the power of zero is always equal to one? This nifty little rule applies to variables too! So, when you see \( y^{0} \), you can confidently say that it equals 1, provided \( y \) is not zero. A common mistake people make is forgetting this rule or treating \( 0^{0} \) the same way. While many mathematicians define \( 0^{0} \) as 1 for convenience, others argue that it’s indeterminate. So stick with non-zero bases for simplicity in your calculations!

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