Question Video: Evaluating a Zero Power | Nagwa Question Video: Evaluating a Zero Power | Nagwa

Question Video: Evaluating a Zero Power Mathematics • Second Year of Preparatory School

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If π‘₯ = √2, find π‘₯⁰.

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Video Transcript

If π‘₯ equals root two, find π‘₯ to the zero power.

We’ve been given the value of π‘₯ and asked to evaluate π‘₯ to the zero power. Let’s begin by substituting root two in place of π‘₯. Doing so gives π‘₯ to the zero power is equal to root two to the zero power.

We can then recall the law for zero exponents, which states that if π‘Ž is any real number apart from zero, then π‘Ž to the zero power is equal to one. Hence, the value of root two to the zero power is one.

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