Expressions with Powers and Roots II

Submitted by ladislav.foltyn on Fri, 02/15/2019 - 14:11
Project ID: 
5000000021
Accepted: 
SubArea: 
Expressions with exponents and radicals
Template: 
A
Question: 
The following diagram presents: N -- Natural numbers, Z -- Integers, Q -- Rational numbers, R∖Q -- Irrational numbers. In the table, specify the smallest number set to which the given number belongs.
Answer Header 1: 
N
Answer Header 2: 
Z∖N
Answer Header 3: 
Q∖Z
Answer Header 4: 
R∖Q
Question Row 1: 
0,2−1
Answer Row 1: 
1
Question Row 2: 
1116
Answer Row 2: 
4
Question Row 3: 
(49)3⋅(827)−2
Answer Row 3: 
1
Question Row 4: 
(π)2
Answer Row 4: 
4
Question Row 5: 
(−0,5)−3
Answer Row 5: 
2
Question Row 6: 
−163⋅323
Answer Row 6: 
2
Question Row 7: 
\( \sqrt[3]{-15\frac58} \)
Answer Row 7: 
3
Question Row 8: 
(128)17
Answer Row 8: 
1
Tex: 
% tiket 32669 \pocetsloupcu{4} \let\oldQuestion\Question \def\I{\mathrm{i}} \def\Question{ \begin{minipage}[t]{0.6\linewidth} \leavevmode \kern -20pt \oldQuestion \end{minipage} \hfill \begin{minipage}[t]{0.35\linewidth} \leavevmode \kern -30pt \def\delka{0.3cm} \obrMsr[x=\delka,y=\delka]{0}{10}{0}{10} { \draw[thick] (0,2) -- (10,2) -- (10,10) -- (0,10) -- cycle; \draw[thick] (0,5) -- (10,5); \draw[thick] (1.5,6) -- (1.5,9) -- (8.5,9) -- (8.5,6) -- cycle; \draw[thick] (5,7.5) ellipse (2 and 1); \draw (5,7.5) node[]{$\mathbb{N}$}; \draw (2.25,8) node[]{$\mathbb{Z}$}; \draw (0.75,9) node[]{$\mathbb{Q}$}; \draw (2.25,4) node[]{$\mathbb{R}\setminus\mathbb{Q}$}; } \end{minipage}\vspace*{-3pt}}