Question
Complete this expression. Assume that any variables are not equal to zero. \( z^{0}=\square \)
Ask by Dawson Burns. in South Africa
Feb 07,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( z^{0} = 1 \)
Solution
Any non-zero number raised to the power of 0 is defined to be 1. Therefore, if z is not zero then:
z⁰ = 1.
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Bonus Knowledge
Did you know that any non-zero number raised to the power of zero is equal to one? So when you're looking at the expression \( z^{0} \), you can confidently fill in the blank with \( 1 \)! It's a nifty little rule in mathematics that helps simplify many equations. In practical terms, this rule often comes in handy when you're simplifying expressions in algebra or working with polynomials. For instance, when you encounter a term in a formula and it's raised to the zero power, it’s a quick way to cut down on complexity, making calculations much smoother!