Negatieve exponent (reeks 2)

Hoofdmenu Eentje per keer  🖨

Zet om naar een positieve exponent

1. \(-\left(\frac{-20}{3}\right)^{-2}\)
2. \(\left(\frac{-10}{7}\right)^{-1}\)
3. \(-\left(\frac{-20}{7}\right)^{-4}\)
4. \(\left(\frac{-6}{7}\right)^{-3}\)
5. \(-\left(\frac{-8}{3}\right)^{-4}\)
6. \(-\left(\frac{-5}{3}\right)^{-1}\)
7. \(\left(\frac{-15}{4}\right)^{-4}\)
8. \(-\left(\frac{-9}{5}\right)^{-3}\)
9. \(-\left(\frac{-4}{5}\right)^{-2}\)
10. \(\left(\frac{-10}{7}\right)^{-2}\)
11. \(-\left(\frac{-6}{7}\right)^{-1}\)
12. \(-\left(\frac{-2}{3}\right)^{-2}\)

---

Zet om naar een positieve exponent

Verbetersleutel

1. \(-\left(\frac{-20}{3}\right)^{-2}=-\left(-\frac{3}{20}\right)^{2}=- \frac{3^{2}}{20^{2}}=- \frac{9}{400}\)
2. \(\left(\frac{-10}{7}\right)^{-1}=\left(-\frac{7}{10}\right)^{1}=- \frac{7^{1}}{10^{1}}=- \frac{7}{10}\)
3. \(-\left(\frac{-20}{7}\right)^{-4}=-\left(-\frac{7}{20}\right)^{4}=- \frac{7^{4}}{20^{4}}=\ldots \text{ZRM}\)
4. \(\left(\frac{-6}{7}\right)^{-3}=\left(-\frac{7}{6}\right)^{3}=- \frac{7^{3}}{6^{3}}=\ldots \text{ZRM}\)
5. \(-\left(\frac{-8}{3}\right)^{-4}=-\left(-\frac{3}{8}\right)^{4}=- \frac{3^{4}}{8^{4}}=\ldots \text{ZRM}\)
6. \(-\left(\frac{-5}{3}\right)^{-1}=-\left(-\frac{3}{5}\right)^{1}= \frac{3^{1}}{5^{1}}= \frac{3}{5}\)
7. \(\left(\frac{-15}{4}\right)^{-4}=\left(-\frac{4}{15}\right)^{4}= \frac{4^{4}}{15^{4}}=\ldots \text{ZRM}\)
8. \(-\left(\frac{-9}{5}\right)^{-3}=-\left(-\frac{5}{9}\right)^{3}= \frac{5^{3}}{9^{3}}=\ldots \text{ZRM}\)
9. \(-\left(\frac{-4}{5}\right)^{-2}=-\left(-\frac{5}{4}\right)^{2}=- \frac{5^{2}}{4^{2}}=- \frac{25}{16}\)
10. \(\left(\frac{-10}{7}\right)^{-2}=\left(-\frac{7}{10}\right)^{2}= \frac{7^{2}}{10^{2}}= \frac{49}{100}\)
11. \(-\left(\frac{-6}{7}\right)^{-1}=-\left(-\frac{7}{6}\right)^{1}= \frac{7^{1}}{6^{1}}= \frac{7}{6}\)
12. \(-\left(\frac{-2}{3}\right)^{-2}=-\left(-\frac{3}{2}\right)^{2}=- \frac{3^{2}}{2^{2}}=- \frac{9}{4}\)