Negatieve exponent (reeks 2)

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Zet om naar een positieve exponent

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

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Zet om naar een positieve exponent

Verbetersleutel

1. \(-\left(\frac{-12}{5}\right)^{-1}=-\left(-\frac{5}{12}\right)^{1}= \frac{5^{1}}{12^{1}}= \frac{5}{12}\)
2. \(-\left(\frac{-11}{9}\right)^{-4}=-\left(-\frac{9}{11}\right)^{4}=- \frac{9^{4}}{11^{4}}=\ldots \text{ZRM}\)
3. \(\left(\frac{-9}{5}\right)^{-1}=\left(-\frac{5}{9}\right)^{1}=- \frac{5^{1}}{9^{1}}=- \frac{5}{9}\)
4. \(\left(\frac{-5}{3}\right)^{-2}=\left(-\frac{3}{5}\right)^{2}= \frac{3^{2}}{5^{2}}= \frac{9}{25}\)
5. \(\left(\frac{-20}{9}\right)^{-1}=\left(-\frac{9}{20}\right)^{1}=- \frac{9^{1}}{20^{1}}=- \frac{9}{20}\)
6. \(\left(\frac{-9}{7}\right)^{-4}=\left(-\frac{7}{9}\right)^{4}= \frac{7^{4}}{9^{4}}=\ldots \text{ZRM}\)
7. \(\left(\frac{-6}{7}\right)^{-2}=\left(-\frac{7}{6}\right)^{2}= \frac{7^{2}}{6^{2}}= \frac{49}{36}\)
8. \(\left(\frac{-19}{5}\right)^{-2}=\left(-\frac{5}{19}\right)^{2}= \frac{5^{2}}{19^{2}}= \frac{25}{361}\)
9. \(\left(\frac{-4}{5}\right)^{-1}=\left(-\frac{5}{4}\right)^{1}=- \frac{5^{1}}{4^{1}}=- \frac{5}{4}\)
10. \(-\left(\frac{-5}{6}\right)^{-4}=-\left(-\frac{6}{5}\right)^{4}=- \frac{6^{4}}{5^{4}}=\ldots \text{ZRM}\)
11. \(\left(\frac{-15}{4}\right)^{-1}=\left(-\frac{4}{15}\right)^{1}=- \frac{4^{1}}{15^{1}}=- \frac{4}{15}\)
12. \(\left(\frac{-15}{4}\right)^{-3}=\left(-\frac{4}{15}\right)^{3}=- \frac{4^{3}}{15^{3}}=\ldots \text{ZRM}\)