query: $[(-2)^\frac{3}{8}]^\frac{8}{3}$
positive_passages.docid: 25959
positive_passages.text: How do you compute negative numbers to fractional powers?
negative_passages.docid: 140983
negative_passages.text: $ \tan 1^\circ \cdot \tan 2^\circ \cdot \tan 3^\circ \cdots \tan 89^\circ$
negative_passages.docid: 105395
negative_passages.text: Minimal polynomial of $1 + 2^{1/3} + 4^{1/3}$
negative_passages.docid: 150581
negative_passages.text: How do I show that $\frac a{1 - a^2} + \frac b{1 - b^2} + \frac c{1 - c^2} \ge \frac {3 \sqrt 3}2$
negative_passages.docid: 62758
negative_passages.text: How find this value $\frac{a^3}{(a-p)(a-q)}+\frac{b^3}{(b-p)(b-q)}+\frac{c^3}{(c-p)(c-q)}$
negative_passages.docid: 104658
negative_passages.text: proving $\csc^2 \left( \frac{\pi}{7}\right)+\csc^2 \left( \frac{2\pi}{7}\right)+\csc^2 \left( \frac{4\pi}{7}\right)=8$
negative_passages.docid: 157031
negative_passages.text: Express $x^8-x$ as a product of irreducibles in $\Bbb Z_2[x]$
negative_passages.docid: 58133
negative_passages.text: ${a^2}{\mid}({b^3} + 1)\;$and$\;{b^2}{\mid}({a^3} + 1)$
negative_passages.docid: 83910
negative_passages.text: Integer part of $\sqrt[3]{24+\sqrt[3]{24+\sqrt[3]{24+\cdots}}}$
negative_passages.docid: 40212
negative_passages.text: roots of $f(z)=z^4+8z^3+3z^2+8z+3=0$ in the right half plane
negative_passages.docid: 13085
negative_passages.text: Evaluate $ 1 + \frac{1}{3}\frac{1}{4}+\frac{1}{5}\frac{1}{4^2}+\frac{1}{7}\frac{1}{4^3}+\dots$
negative_passages.docid: 31074
negative_passages.text: Mathematical Induction divisibility $8\mid 3^{2n}-1$
negative_passages.docid: 151153
negative_passages.text: Prove $\frac{a(a^2+2)}{3}$ is an integer for all integer $a\geqslant 1$
negative_passages.docid: 55437
negative_passages.text: When does $2^{n}$ divide $3^{n}-1$
negative_passages.docid: 39266
negative_passages.text: Show that $\tan {\pi \over 8} = \sqrt 2 - 1$
negative_passages.docid: 68389
negative_passages.text: Proving $ \frac{(a-b)^2}{8a}\leqslant\frac{a+b}{2} - \sqrt{ab} \leqslant\frac{(a-b)^2}{8b}$ when $ 0<b\le a$
negative_passages.docid: 99366
negative_passages.text: Minimum of an expression involving radicals: $\sqrt{\frac{2a}{a+b}} + \sqrt{\frac{2b}{b+c}} + \sqrt{\frac{2c}{c+a}}$