Negatieve exponent (reeks 2)

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Zet om naar een positieve exponent

1. \(\left(\frac{-9}{7}\right)^{-1}\)
2. \(-\left(\frac{-8}{9}\right)^{-4}\)
3. \(\left(\frac{-19}{4}\right)^{-4}\)
4. \(-\left(\frac{-19}{4}\right)^{-2}\)
5. \(\left(\frac{-6}{7}\right)^{-2}\)
6. \(\left(\frac{-14}{3}\right)^{-4}\)
7. \(\left(\frac{-4}{5}\right)^{-2}\)
8. \(-\left(\frac{-9}{7}\right)^{-3}\)
9. \(\left(\frac{-2}{3}\right)^{-1}\)
10. \(\left(\frac{-20}{7}\right)^{-3}\)
11. \(\left(\frac{-11}{3}\right)^{-4}\)
12. \(-\left(\frac{-17}{6}\right)^{-1}\)

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Zet om naar een positieve exponent

Verbetersleutel

1. \(\left(\frac{-9}{7}\right)^{-1}=\left(-\frac{7}{9}\right)^{1}=- \frac{7^{1}}{9^{1}}=- \frac{7}{9}\)
2. \(-\left(\frac{-8}{9}\right)^{-4}=-\left(-\frac{9}{8}\right)^{4}=- \frac{9^{4}}{8^{4}}=\ldots \text{ZRM}\)
3. \(\left(\frac{-19}{4}\right)^{-4}=\left(-\frac{4}{19}\right)^{4}= \frac{4^{4}}{19^{4}}=\ldots \text{ZRM}\)
4. \(-\left(\frac{-19}{4}\right)^{-2}=-\left(-\frac{4}{19}\right)^{2}=- \frac{4^{2}}{19^{2}}=- \frac{16}{361}\)
5. \(\left(\frac{-6}{7}\right)^{-2}=\left(-\frac{7}{6}\right)^{2}= \frac{7^{2}}{6^{2}}= \frac{49}{36}\)
6. \(\left(\frac{-14}{3}\right)^{-4}=\left(-\frac{3}{14}\right)^{4}= \frac{3^{4}}{14^{4}}=\ldots \text{ZRM}\)
7. \(\left(\frac{-4}{5}\right)^{-2}=\left(-\frac{5}{4}\right)^{2}= \frac{5^{2}}{4^{2}}= \frac{25}{16}\)
8. \(-\left(\frac{-9}{7}\right)^{-3}=-\left(-\frac{7}{9}\right)^{3}= \frac{7^{3}}{9^{3}}=\ldots \text{ZRM}\)
9. \(\left(\frac{-2}{3}\right)^{-1}=\left(-\frac{3}{2}\right)^{1}=- \frac{3^{1}}{2^{1}}=- \frac{3}{2}\)
10. \(\left(\frac{-20}{7}\right)^{-3}=\left(-\frac{7}{20}\right)^{3}=- \frac{7^{3}}{20^{3}}=\ldots \text{ZRM}\)
11. \(\left(\frac{-11}{3}\right)^{-4}=\left(-\frac{3}{11}\right)^{4}= \frac{3^{4}}{11^{4}}=\ldots \text{ZRM}\)
12. \(-\left(\frac{-17}{6}\right)^{-1}=-\left(-\frac{6}{17}\right)^{1}= \frac{6^{1}}{17^{1}}= \frac{6}{17}\)