Negatieve exponent (reeks 2)

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Zet om naar een positieve exponent

1. \(\left(\frac{-13}{7}\right)^{-1}\)
2. \(-\left(\frac{-10}{7}\right)^{-2}\)
3. \(-\left(\frac{-9}{5}\right)^{-2}\)
4. \(\left(\frac{-11}{4}\right)^{-2}\)
5. \(-\left(\frac{-19}{4}\right)^{-4}\)
6. \(-\left(\frac{-13}{7}\right)^{-4}\)
7. \(\left(\frac{-14}{3}\right)^{-4}\)
8. \(-\left(\frac{-3}{4}\right)^{-4}\)
9. \(\left(\frac{-14}{3}\right)^{-1}\)
10. \(-\left(\frac{-14}{3}\right)^{-3}\)
11. \(-\left(\frac{-7}{8}\right)^{-1}\)
12. \(-\left(\frac{-13}{7}\right)^{-3}\)

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Zet om naar een positieve exponent

Verbetersleutel

1. \(\left(\frac{-13}{7}\right)^{-1}=\left(-\frac{7}{13}\right)^{1}=- \frac{7^{1}}{13^{1}}=- \frac{7}{13}\)
2. \(-\left(\frac{-10}{7}\right)^{-2}=-\left(-\frac{7}{10}\right)^{2}=- \frac{7^{2}}{10^{2}}=- \frac{49}{100}\)
3. \(-\left(\frac{-9}{5}\right)^{-2}=-\left(-\frac{5}{9}\right)^{2}=- \frac{5^{2}}{9^{2}}=- \frac{25}{81}\)
4. \(\left(\frac{-11}{4}\right)^{-2}=\left(-\frac{4}{11}\right)^{2}= \frac{4^{2}}{11^{2}}= \frac{16}{121}\)
5. \(-\left(\frac{-19}{4}\right)^{-4}=-\left(-\frac{4}{19}\right)^{4}=- \frac{4^{4}}{19^{4}}=\ldots \text{ZRM}\)
6. \(-\left(\frac{-13}{7}\right)^{-4}=-\left(-\frac{7}{13}\right)^{4}=- \frac{7^{4}}{13^{4}}=\ldots \text{ZRM}\)
7. \(\left(\frac{-14}{3}\right)^{-4}=\left(-\frac{3}{14}\right)^{4}= \frac{3^{4}}{14^{4}}=\ldots \text{ZRM}\)
8. \(-\left(\frac{-3}{4}\right)^{-4}=-\left(-\frac{4}{3}\right)^{4}=- \frac{4^{4}}{3^{4}}=\ldots \text{ZRM}\)
9. \(\left(\frac{-14}{3}\right)^{-1}=\left(-\frac{3}{14}\right)^{1}=- \frac{3^{1}}{14^{1}}=- \frac{3}{14}\)
10. \(-\left(\frac{-14}{3}\right)^{-3}=-\left(-\frac{3}{14}\right)^{3}= \frac{3^{3}}{14^{3}}=\ldots \text{ZRM}\)
11. \(-\left(\frac{-7}{8}\right)^{-1}=-\left(-\frac{8}{7}\right)^{1}= \frac{8^{1}}{7^{1}}= \frac{8}{7}\)
12. \(-\left(\frac{-13}{7}\right)^{-3}=-\left(-\frac{7}{13}\right)^{3}= \frac{7^{3}}{13^{3}}=\ldots \text{ZRM}\)