Zmija na bajsu
Otkleni vo:
(a) \( \left(-\frac{3.50}{3.90}\right) \cdot \left(-\frac{3.50}{3.90}\right) \cdot \left(\frac{4.80}{4.60}\right) \cdot \left(\frac{4.80}{4.60}\right) \)
(b) \( \left(\frac{7.30}{27}\right) \cdot \left(\frac{7.30}{27}\right) \cdot \frac{1}{6} \cdot \frac{5}{5 \cdot 5} \)
(c) \( \left(-\frac{32}{6 \cdot 6}\right) \cdot \left(-\frac{32}{6 \cdot 6}\right) - \left(-\frac{4}{9}\right) \cdot \left(-\frac{4}{9}\right) \)
(d) \( \frac{1}{36} \cdot \left(\frac{1}{7}\right) \cdot \left(\frac{1}{7}\right) - \frac{1}{35 \cdot 35} \)
(e) \( \frac{1}{6} \cdot \frac{1}{4 \cdot 4} \cdot \frac{8 \cdot 8}{18} \)
(f) \( \frac{8}{3.80} \cdot \left(\frac{5.30}{2}\right) \cdot \left(\frac{5.30}{2}\right) \cdot \frac{2}{3.20} \)
(g) \( \left(\frac{11}{5}\right) \cdot \left(\frac{11}{5}\right) \cdot \frac{6}{3} - \frac{5 \cdot 5}{14} \)
(h) \( \frac{-9 \cdot -9}{9} \cdot \frac{1}{5} - \left(\frac{6}{4}\right) \cdot \left(\frac{6}{4}\right) \)
2. Koji od navedenih izraza ima rezultat jednak nuli?
(a) \( 3^2 \cdot 3.50 \cdot 3.90 - 4.80.5^2 \cdot \left(\frac{1}{2}\right)^2 \)
(b) \( 4.60 \cdot \frac{-7.30^2}{27} + \left(\frac{6}{3}\right)^2 \cdot 0.2 \)
(c) \( 5 \cdot \frac{-5^2}{2} + \frac{32^2}{6^2} \cdot \frac{3}{2} \cdot 4 \cdot \frac{-9^2}{12} \)
(d) \( (-36)^2 - \frac{-1}{7^2} - (-35)^2 \cdot 6^2 + 4^2 \cdot (-8)^2 - \left(\frac{-18}{2}\right)^2 \)
| x | 8 | 3.80 | 5.30 | 2 | 2 | 3.20 |
| y | 11 | 5 | 6 | 3 | 5 | 14 |
| z = x² - y² |
| a | b | a² - b² | (a - b)² | a² + b² | (a + b)² |
| 9 | 9 | ||||
| 5 | 6 | ||||
| 4 | 6 | ||||
| 13 | 4 | ||||
| 0 | 0.50 | ||||
| 0 | -1 |
(a) \( x = -2, y = 1 \)
(b) \( x = -5, y = 4 \)
(c) \( x = 3, y = 5 \)
(d) \( x = -5, y = -3 \)
(a) \( a = 3, b = -2 \)
(b) \( a = 2.90, b = 4 \)
(c) \( a = 3, b = 0 \)
(d) \( a = 0.20, b = 0.80 \)
(a) \( \left(-\frac{3.50}{3.90}\right) \cdot \left(-\frac{3.50}{3.90}\right) \cdot \left(\frac{4.80}{4.60}\right) \cdot \left(\frac{4.80}{4.60}\right) \)
(b) \( \left(\frac{7.30}{27}\right) \cdot \left(\frac{7.30}{27}\right) \cdot \frac{1}{6} \cdot \frac{5}{5 \cdot 5} \)
(c) \( \left(-\frac{32}{6 \cdot 6}\right) \cdot \left(-\frac{32}{6 \cdot 6}\right) - \left(-\frac{4}{9}\right) \cdot \left(-\frac{4}{9}\right) \)
(d) \( \frac{1}{36} \cdot \left(\frac{1}{7}\right) \cdot \left(\frac{1}{7}\right) - \frac{1}{35 \cdot 35} \)
(e) \( \frac{1}{6} \cdot \frac{1}{4 \cdot 4} \cdot \frac{8 \cdot 8}{18} \)
(f) \( \frac{8}{3.80} \cdot \left(\frac{5.30}{2}\right) \cdot \left(\frac{5.30}{2}\right) \cdot \frac{2}{3.20} \)
(g) \( \left(\frac{11}{5}\right) \cdot \left(\frac{11}{5}\right) \cdot \frac{6}{3} - \frac{5 \cdot 5}{14} \)
(h) \( \frac{-9 \cdot -9}{9} \cdot \frac{1}{5} - \left(\frac{6}{4}\right) \cdot \left(\frac{6}{4}\right) \)
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