Negatieve exponent (reeks 2)

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Zet om naar een positieve exponent

1. \(\left(\frac{-15}{4}\right)^{-2}\)
2. \(\left(\frac{-11}{4}\right)^{-1}\)
3. \(-\left(\frac{-12}{5}\right)^{-2}\)
4. \(-\left(\frac{-11}{6}\right)^{-2}\)
5. \(-\left(\frac{-13}{9}\right)^{-4}\)
6. \(\left(\frac{-11}{9}\right)^{-1}\)
7. \(\left(\frac{-8}{9}\right)^{-2}\)
8. \(-\left(\frac{-4}{9}\right)^{-1}\)
9. \(\left(\frac{-11}{3}\right)^{-2}\)
10. \(\left(\frac{-18}{8}\right)^{-4}\)
11. \(-\left(\frac{-6}{7}\right)^{-1}\)
12. \(-\left(\frac{-19}{5}\right)^{-2}\)

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Zet om naar een positieve exponent

Verbetersleutel

1. \(\left(\frac{-15}{4}\right)^{-2}=\left(-\frac{4}{15}\right)^{2}= \frac{4^{2}}{15^{2}}= \frac{16}{225}\)
2. \(\left(\frac{-11}{4}\right)^{-1}=\left(-\frac{4}{11}\right)^{1}=- \frac{4^{1}}{11^{1}}=- \frac{4}{11}\)
3. \(-\left(\frac{-12}{5}\right)^{-2}=-\left(-\frac{5}{12}\right)^{2}=- \frac{5^{2}}{12^{2}}=- \frac{25}{144}\)
4. \(-\left(\frac{-11}{6}\right)^{-2}=-\left(-\frac{6}{11}\right)^{2}=- \frac{6^{2}}{11^{2}}=- \frac{36}{121}\)
5. \(-\left(\frac{-13}{9}\right)^{-4}=-\left(-\frac{9}{13}\right)^{4}=- \frac{9^{4}}{13^{4}}=\ldots \text{ZRM}\)
6. \(\left(\frac{-11}{9}\right)^{-1}=\left(-\frac{9}{11}\right)^{1}=- \frac{9^{1}}{11^{1}}=- \frac{9}{11}\)
7. \(\left(\frac{-8}{9}\right)^{-2}=\left(-\frac{9}{8}\right)^{2}= \frac{9^{2}}{8^{2}}= \frac{81}{64}\)
8. \(-\left(\frac{-4}{9}\right)^{-1}=-\left(-\frac{9}{4}\right)^{1}= \frac{9^{1}}{4^{1}}= \frac{9}{4}\)
9. \(\left(\frac{-11}{3}\right)^{-2}=\left(-\frac{3}{11}\right)^{2}= \frac{3^{2}}{11^{2}}= \frac{9}{121}\)
10. \(\left(\frac{-18}{8}\right)^{-4}=\left(-\frac{8}{18}\right)^{4}= \frac{8^{4}}{18^{4}}=\ldots \text{ZRM}\)
11. \(-\left(\frac{-6}{7}\right)^{-1}=-\left(-\frac{7}{6}\right)^{1}= \frac{7^{1}}{6^{1}}= \frac{7}{6}\)
12. \(-\left(\frac{-19}{5}\right)^{-2}=-\left(-\frac{5}{19}\right)^{2}=- \frac{5^{2}}{19^{2}}=- \frac{25}{361}\)