Negatieve exponent (reeks 2)

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Zet om naar een positieve exponent

1. \(-\left(\frac{-4}{5}\right)^{-1}\)
2. \(\left(\frac{-4}{5}\right)^{-3}\)
3. \(\left(\frac{-13}{7}\right)^{-1}\)
4. \(\left(\frac{-7}{4}\right)^{-3}\)
5. \(\left(\frac{-2}{9}\right)^{-4}\)
6. \(\left(\frac{-17}{6}\right)^{-2}\)
7. \(\left(\frac{-18}{9}\right)^{-3}\)
8. \(\left(\frac{-11}{9}\right)^{-3}\)
9. \(\left(\frac{-12}{5}\right)^{-1}\)
10. \(-\left(\frac{-5}{3}\right)^{-4}\)
11. \(-\left(\frac{-18}{9}\right)^{-1}\)
12. \(-\left(\frac{-11}{9}\right)^{-1}\)

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Zet om naar een positieve exponent

Verbetersleutel

1. \(-\left(\frac{-4}{5}\right)^{-1}=-\left(-\frac{5}{4}\right)^{1}= \frac{5^{1}}{4^{1}}= \frac{5}{4}\)
2. \(\left(\frac{-4}{5}\right)^{-3}=\left(-\frac{5}{4}\right)^{3}=- \frac{5^{3}}{4^{3}}=\ldots \text{ZRM}\)
3. \(\left(\frac{-13}{7}\right)^{-1}=\left(-\frac{7}{13}\right)^{1}=- \frac{7^{1}}{13^{1}}=- \frac{7}{13}\)
4. \(\left(\frac{-7}{4}\right)^{-3}=\left(-\frac{4}{7}\right)^{3}=- \frac{4^{3}}{7^{3}}=\ldots \text{ZRM}\)
5. \(\left(\frac{-2}{9}\right)^{-4}=\left(-\frac{9}{2}\right)^{4}= \frac{9^{4}}{2^{4}}=\ldots \text{ZRM}\)
6. \(\left(\frac{-17}{6}\right)^{-2}=\left(-\frac{6}{17}\right)^{2}= \frac{6^{2}}{17^{2}}= \frac{36}{289}\)
7. \(\left(\frac{-18}{9}\right)^{-3}=\left(-\frac{9}{18}\right)^{3}=- \frac{9^{3}}{18^{3}}=\ldots \text{ZRM}\)
8. \(\left(\frac{-11}{9}\right)^{-3}=\left(-\frac{9}{11}\right)^{3}=- \frac{9^{3}}{11^{3}}=\ldots \text{ZRM}\)
9. \(\left(\frac{-12}{5}\right)^{-1}=\left(-\frac{5}{12}\right)^{1}=- \frac{5^{1}}{12^{1}}=- \frac{5}{12}\)
10. \(-\left(\frac{-5}{3}\right)^{-4}=-\left(-\frac{3}{5}\right)^{4}=- \frac{3^{4}}{5^{4}}=\ldots \text{ZRM}\)
11. \(-\left(\frac{-18}{9}\right)^{-1}=-\left(-\frac{9}{18}\right)^{1}= \frac{9^{1}}{18^{1}}= \frac{9}{18}\)
12. \(-\left(\frac{-11}{9}\right)^{-1}=-\left(-\frac{9}{11}\right)^{1}= \frac{9^{1}}{11^{1}}= \frac{9}{11}\)