Negatieve exponent (reeks 2)

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Zet om naar een positieve exponent

1. \(\left(\frac{-7}{5}\right)^{-1}\)
2. \(-\left(\frac{-20}{7}\right)^{-1}\)
3. \(\left(\frac{-6}{7}\right)^{-2}\)
4. \(\left(\frac{-5}{3}\right)^{-3}\)
5. \(\left(\frac{-14}{3}\right)^{-2}\)
6. \(-\left(\frac{-17}{6}\right)^{-4}\)
7. \(\left(\frac{-4}{9}\right)^{-1}\)
8. \(\left(\frac{-17}{3}\right)^{-4}\)
9. \(-\left(\frac{-16}{7}\right)^{-2}\)
10. \(-\left(\frac{-8}{9}\right)^{-4}\)
11. \(\left(\frac{-11}{6}\right)^{-3}\)
12. \(-\left(\frac{-13}{7}\right)^{-1}\)

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Zet om naar een positieve exponent

Verbetersleutel

1. \(\left(\frac{-7}{5}\right)^{-1}=\left(-\frac{5}{7}\right)^{1}=- \frac{5^{1}}{7^{1}}=- \frac{5}{7}\)
2. \(-\left(\frac{-20}{7}\right)^{-1}=-\left(-\frac{7}{20}\right)^{1}= \frac{7^{1}}{20^{1}}= \frac{7}{20}\)
3. \(\left(\frac{-6}{7}\right)^{-2}=\left(-\frac{7}{6}\right)^{2}= \frac{7^{2}}{6^{2}}= \frac{49}{36}\)
4. \(\left(\frac{-5}{3}\right)^{-3}=\left(-\frac{3}{5}\right)^{3}=- \frac{3^{3}}{5^{3}}=\ldots \text{ZRM}\)
5. \(\left(\frac{-14}{3}\right)^{-2}=\left(-\frac{3}{14}\right)^{2}= \frac{3^{2}}{14^{2}}= \frac{9}{196}\)
6. \(-\left(\frac{-17}{6}\right)^{-4}=-\left(-\frac{6}{17}\right)^{4}=- \frac{6^{4}}{17^{4}}=\ldots \text{ZRM}\)
7. \(\left(\frac{-4}{9}\right)^{-1}=\left(-\frac{9}{4}\right)^{1}=- \frac{9^{1}}{4^{1}}=- \frac{9}{4}\)
8. \(\left(\frac{-17}{3}\right)^{-4}=\left(-\frac{3}{17}\right)^{4}= \frac{3^{4}}{17^{4}}=\ldots \text{ZRM}\)
9. \(-\left(\frac{-16}{7}\right)^{-2}=-\left(-\frac{7}{16}\right)^{2}=- \frac{7^{2}}{16^{2}}=- \frac{49}{256}\)
10. \(-\left(\frac{-8}{9}\right)^{-4}=-\left(-\frac{9}{8}\right)^{4}=- \frac{9^{4}}{8^{4}}=\ldots \text{ZRM}\)
11. \(\left(\frac{-11}{6}\right)^{-3}=\left(-\frac{6}{11}\right)^{3}=- \frac{6^{3}}{11^{3}}=\ldots \text{ZRM}\)
12. \(-\left(\frac{-13}{7}\right)^{-1}=-\left(-\frac{7}{13}\right)^{1}= \frac{7^{1}}{13^{1}}= \frac{7}{13}\)