query: Is 1^2^3 = $1^{2^3}$ or $(1^2)^3$
positive_passages.docid: 141886
positive_passages.text: Incorrect notation in math?
negative_passages.docid: 30404
negative_passages.text: Is $\mathbb{Z}/3\otimes \mathbb{Z}[1/2]=\mathbb{Z}/3$?
negative_passages.docid: 146753
negative_passages.text: Find $x$ such that $(x^2 + 4x + 3)^x + (2x + 4)^x = (x^2 + 4x + 5)^x$
negative_passages.docid: 106562
negative_passages.text: Is $3 \ge 1$ or is it just $3 > 1$?
negative_passages.docid: 45700
negative_passages.text: How can I know if $2^{2^{2^{2^{2}}}}+1=?$ is prime?
negative_passages.docid: 143357
negative_passages.text: Comparing $2^n$ to $n!$
negative_passages.docid: 74081
negative_passages.text: Find coefficient of $x^{n}$ in $\frac{1}{(1-x)^3(1+x)^2}$
negative_passages.docid: 157087
negative_passages.text: Can anyone explain why $a^{b^c} = a^{(b^c)} \neq (a^b)^c = a^{(bc)}$
negative_passages.docid: 114390
negative_passages.text: Prove that $1^\alpha + 2^\alpha = 3^\alpha $ if $ \alpha $ is a limit ordinal
negative_passages.docid: 10635
negative_passages.text: diophantine equations $x^3-2y^3=1$
negative_passages.docid: 86378
negative_passages.text: Prove that $3(a^3+b^3+c^3) > (a+b+c)(a^2+b^2+c^2)$
negative_passages.docid: 9302
negative_passages.text: Questions about Divisibility of $2^n$ by $3$
negative_passages.docid: 117353
negative_passages.text: Polynomial equation $f(x)f(2x^2)=f(2x^3+x)$
negative_passages.docid: 17707
negative_passages.text: Why is ${x^{\frac{1}{2}}}$ the same as $\sqrt x $?
negative_passages.docid: 126981
negative_passages.text: Character of $2x_1^2 + 5x_2^2 + 5x_3^2 + 4x_1x_2 - 4x_1x_3 - 8x_2x_3 $
negative_passages.docid: 43453
negative_passages.text: Is ${\sqrt2^{\sqrt2^{\sqrt2^{\sqrt2^\sqrt2}}}}^{...}=4$ correct?
negative_passages.docid: 113168
negative_passages.text: If $a > b$, is $a^2 > b^2$?