query: The concept of an real irrational power
positive_passages.docid: 80482
positive_passages.text: What Is Exponentiation?
negative_passages.docid: 125267
negative_passages.text: Prove that $2^{1/2}$ is irrational
negative_passages.docid: 126199
negative_passages.text: Proof of $\pi$ not being a quadratic irrational number.
negative_passages.docid: 99595
negative_passages.text: Why is $\varphi$ called "the most irrational number"?
negative_passages.docid: 30523
negative_passages.text: A binary irrational with bits defined by primes
negative_passages.docid: 138162
negative_passages.text: Do Irrationals form a group?
negative_passages.docid: 111094
negative_passages.text: Help with proving that $\pi$ is irrational
negative_passages.docid: 87410
negative_passages.text: Are there real numbers that are neither rational nor irrational?
negative_passages.docid: 107105
negative_passages.text: Is an irrational number odd or even?
negative_passages.docid: 147920
negative_passages.text: Infinite powering by $i$
negative_passages.docid: 132525
negative_passages.text: Real Numbers Raised to Imaginary Powers?
negative_passages.docid: 64885
negative_passages.text: Irrational and rational sequence proof
negative_passages.docid: 124641
negative_passages.text: Prove that $5^{1/3}+7^{1/2}$ is irrational
negative_passages.docid: 26607
negative_passages.text: The idea behind the sum of powers of 2
negative_passages.docid: 30105
negative_passages.text: Multiples of an irrational number forming a dense subset
negative_passages.docid: 67605
negative_passages.text: Different proof that $\sqrt{2}$ is irrational
negative_passages.docid: 48975
negative_passages.text: Transcendental numbers and irrationality measure