Negatieve exponent (reeks 2)

Hoofdmenu Eentje per keer  🖨

Zet om naar een positieve exponent

1. \(-\left(\frac{-7}{4}\right)^{-1}\)
2. \(\left(\frac{-20}{7}\right)^{-2}\)
3. \(\left(\frac{-11}{9}\right)^{-1}\)
4. \(\left(\frac{-4}{5}\right)^{-3}\)
5. \(-\left(\frac{-14}{3}\right)^{-3}\)
6. \(\left(\frac{-12}{5}\right)^{-3}\)
7. \(-\left(\frac{-16}{7}\right)^{-3}\)
8. \(\left(\frac{-17}{9}\right)^{-4}\)
9. \(-\left(\frac{-11}{6}\right)^{-1}\)
10. \(\left(\frac{-20}{7}\right)^{-3}\)
11. \(\left(\frac{-18}{7}\right)^{-1}\)
12. \(\left(\frac{-14}{3}\right)^{-2}\)

---

Zet om naar een positieve exponent

Verbetersleutel

1. \(-\left(\frac{-7}{4}\right)^{-1}=-\left(-\frac{4}{7}\right)^{1}= \frac{4^{1}}{7^{1}}= \frac{4}{7}\)
2. \(\left(\frac{-20}{7}\right)^{-2}=\left(-\frac{7}{20}\right)^{2}= \frac{7^{2}}{20^{2}}= \frac{49}{400}\)
3. \(\left(\frac{-11}{9}\right)^{-1}=\left(-\frac{9}{11}\right)^{1}=- \frac{9^{1}}{11^{1}}=- \frac{9}{11}\)
4. \(\left(\frac{-4}{5}\right)^{-3}=\left(-\frac{5}{4}\right)^{3}=- \frac{5^{3}}{4^{3}}=\ldots \text{ZRM}\)
5. \(-\left(\frac{-14}{3}\right)^{-3}=-\left(-\frac{3}{14}\right)^{3}= \frac{3^{3}}{14^{3}}=\ldots \text{ZRM}\)
6. \(\left(\frac{-12}{5}\right)^{-3}=\left(-\frac{5}{12}\right)^{3}=- \frac{5^{3}}{12^{3}}=\ldots \text{ZRM}\)
7. \(-\left(\frac{-16}{7}\right)^{-3}=-\left(-\frac{7}{16}\right)^{3}= \frac{7^{3}}{16^{3}}=\ldots \text{ZRM}\)
8. \(\left(\frac{-17}{9}\right)^{-4}=\left(-\frac{9}{17}\right)^{4}= \frac{9^{4}}{17^{4}}=\ldots \text{ZRM}\)
9. \(-\left(\frac{-11}{6}\right)^{-1}=-\left(-\frac{6}{11}\right)^{1}= \frac{6^{1}}{11^{1}}= \frac{6}{11}\)
10. \(\left(\frac{-20}{7}\right)^{-3}=\left(-\frac{7}{20}\right)^{3}=- \frac{7^{3}}{20^{3}}=\ldots \text{ZRM}\)
11. \(\left(\frac{-18}{7}\right)^{-1}=\left(-\frac{7}{18}\right)^{1}=- \frac{7^{1}}{18^{1}}=- \frac{7}{18}\)
12. \(\left(\frac{-14}{3}\right)^{-2}=\left(-\frac{3}{14}\right)^{2}= \frac{3^{2}}{14^{2}}= \frac{9}{196}\)