Negatieve exponent (reeks 2)

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Zet om naar een positieve exponent

1. \(-\left(\frac{-19}{4}\right)^{-1}\)
2. \(-\left(\frac{-8}{9}\right)^{-2}\)
3. \(-\left(\frac{-9}{5}\right)^{-2}\)
4. \(-\left(\frac{-15}{4}\right)^{-4}\)
5. \(-\left(\frac{-2}{9}\right)^{-4}\)
6. \(\left(\frac{-13}{7}\right)^{-4}\)
7. \(-\left(\frac{-13}{7}\right)^{-2}\)
8. \(-\left(\frac{-14}{5}\right)^{-3}\)
9. \(-\left(\frac{-20}{9}\right)^{-1}\)
10. \(-\left(\frac{-8}{9}\right)^{-3}\)
11. \(-\left(\frac{-12}{5}\right)^{-2}\)
12. \(-\left(\frac{-5}{6}\right)^{-3}\)

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Zet om naar een positieve exponent

Verbetersleutel

1. \(-\left(\frac{-19}{4}\right)^{-1}=-\left(-\frac{4}{19}\right)^{1}= \frac{4^{1}}{19^{1}}= \frac{4}{19}\)
2. \(-\left(\frac{-8}{9}\right)^{-2}=-\left(-\frac{9}{8}\right)^{2}=- \frac{9^{2}}{8^{2}}=- \frac{81}{64}\)
3. \(-\left(\frac{-9}{5}\right)^{-2}=-\left(-\frac{5}{9}\right)^{2}=- \frac{5^{2}}{9^{2}}=- \frac{25}{81}\)
4. \(-\left(\frac{-15}{4}\right)^{-4}=-\left(-\frac{4}{15}\right)^{4}=- \frac{4^{4}}{15^{4}}=\ldots \text{ZRM}\)
5. \(-\left(\frac{-2}{9}\right)^{-4}=-\left(-\frac{9}{2}\right)^{4}=- \frac{9^{4}}{2^{4}}=\ldots \text{ZRM}\)
6. \(\left(\frac{-13}{7}\right)^{-4}=\left(-\frac{7}{13}\right)^{4}= \frac{7^{4}}{13^{4}}=\ldots \text{ZRM}\)
7. \(-\left(\frac{-13}{7}\right)^{-2}=-\left(-\frac{7}{13}\right)^{2}=- \frac{7^{2}}{13^{2}}=- \frac{49}{169}\)
8. \(-\left(\frac{-14}{5}\right)^{-3}=-\left(-\frac{5}{14}\right)^{3}= \frac{5^{3}}{14^{3}}=\ldots \text{ZRM}\)
9. \(-\left(\frac{-20}{9}\right)^{-1}=-\left(-\frac{9}{20}\right)^{1}= \frac{9^{1}}{20^{1}}= \frac{9}{20}\)
10. \(-\left(\frac{-8}{9}\right)^{-3}=-\left(-\frac{9}{8}\right)^{3}= \frac{9^{3}}{8^{3}}=\ldots \text{ZRM}\)
11. \(-\left(\frac{-12}{5}\right)^{-2}=-\left(-\frac{5}{12}\right)^{2}=- \frac{5^{2}}{12^{2}}=- \frac{25}{144}\)
12. \(-\left(\frac{-5}{6}\right)^{-3}=-\left(-\frac{6}{5}\right)^{3}= \frac{6^{3}}{5^{3}}=\ldots \text{ZRM}\)