Negatieve exponent (reeks 2)

Hoofdmenu Eentje per keer  🖨

Zet om naar een positieve exponent

1. \(\left(\frac{-8}{3}\right)^{-3}\)
2. \(\left(\frac{-11}{4}\right)^{-1}\)
3. \(\left(\frac{-15}{2}\right)^{-1}\)
4. \(\left(\frac{-14}{9}\right)^{-3}\)
5. \(\left(\frac{-17}{10}\right)^{-1}\)
6. \(\left(\frac{-13}{3}\right)^{-3}\)
7. \(-\left(\frac{-3}{8}\right)^{-4}\)
8. \(-\left(\frac{-14}{5}\right)^{-1}\)
9. \(\left(\frac{-6}{7}\right)^{-2}\)
10. \(-\left(\frac{-16}{3}\right)^{-3}\)
11. \(\left(\frac{-13}{3}\right)^{-2}\)
12. \(\left(\frac{-12}{5}\right)^{-1}\)

---

Zet om naar een positieve exponent

Verbetersleutel

1. \(\left(\frac{-8}{3}\right)^{-3}=\left(-\frac{3}{8}\right)^{3}=- \frac{3^{3}}{8^{3}}=\ldots \text{ZRM}\)
2. \(\left(\frac{-11}{4}\right)^{-1}=\left(-\frac{4}{11}\right)^{1}=- \frac{4^{1}}{11^{1}}=- \frac{4}{11}\)
3. \(\left(\frac{-15}{2}\right)^{-1}=\left(-\frac{2}{15}\right)^{1}=- \frac{2^{1}}{15^{1}}=- \frac{2}{15}\)
4. \(\left(\frac{-14}{9}\right)^{-3}=\left(-\frac{9}{14}\right)^{3}=- \frac{9^{3}}{14^{3}}=\ldots \text{ZRM}\)
5. \(\left(\frac{-17}{10}\right)^{-1}=\left(-\frac{10}{17}\right)^{1}=- \frac{10^{1}}{17^{1}}=- \frac{10}{17}\)
6. \(\left(\frac{-13}{3}\right)^{-3}=\left(-\frac{3}{13}\right)^{3}=- \frac{3^{3}}{13^{3}}=\ldots \text{ZRM}\)
7. \(-\left(\frac{-3}{8}\right)^{-4}=-\left(-\frac{8}{3}\right)^{4}=- \frac{8^{4}}{3^{4}}=\ldots \text{ZRM}\)
8. \(-\left(\frac{-14}{5}\right)^{-1}=-\left(-\frac{5}{14}\right)^{1}= \frac{5^{1}}{14^{1}}= \frac{5}{14}\)
9. \(\left(\frac{-6}{7}\right)^{-2}=\left(-\frac{7}{6}\right)^{2}= \frac{7^{2}}{6^{2}}= \frac{49}{36}\)
10. \(-\left(\frac{-16}{3}\right)^{-3}=-\left(-\frac{3}{16}\right)^{3}= \frac{3^{3}}{16^{3}}=\ldots \text{ZRM}\)
11. \(\left(\frac{-13}{3}\right)^{-2}=\left(-\frac{3}{13}\right)^{2}= \frac{3^{2}}{13^{2}}= \frac{9}{169}\)
12. \(\left(\frac{-12}{5}\right)^{-1}=\left(-\frac{5}{12}\right)^{1}=- \frac{5^{1}}{12^{1}}=- \frac{5}{12}\)